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Finding the Fourth Proportional to 1,198.74, 1,654.22 and 674.76

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Solution

The fourth proportional to 1,198.74, 1,654.22 and 674.76 is: 931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.74 : 1,654.22 = 674.76 : x
  2. Step 2: Convert to fraction form
    1,198.74/1,654.22 = 674.76/x
  3. Step 3: Cross multiply
    1,198.74x = 1,654.22 × 674.76
  4. Step 4: Simplify right side
    1,198.74x = 1,116,201.49
  5. Step 5: Solve for x
    x = 1,116,201.49/1,198.74
  6. Step 6: Final answer
    x = 931.15

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Half scale
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Double scale
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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.