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Finding the Fourth Proportional to 1,198.68, 1,653.96 and 674.76

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Solution

The fourth proportional to 1,198.68, 1,653.96 and 674.76 is: 931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.68 : 1,653.96 = 674.76 : x
  2. Step 2: Convert to fraction form
    1,198.68/1,653.96 = 674.76/x
  3. Step 3: Cross multiply
    1,198.68x = 1,653.96 × 674.76
  4. Step 4: Simplify right side
    1,198.68x = 1,116,026.05
  5. Step 5: Solve for x
    x = 1,116,026.05/1,198.68
  6. Step 6: Final answer
    x = 931.05

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.