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Finding the Fourth Proportional to 1,784.68, 2,463.10 and 998.76

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Solution

The fourth proportional to 1,784.68, 2,463.10 and 998.76 is: 1,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.68 : 2,463.10 = 998.76 : x
  2. Step 2: Convert to fraction form
    1,784.68/2,463.10 = 998.76/x
  3. Step 3: Cross multiply
    1,784.68x = 2,463.10 × 998.76
  4. Step 4: Simplify right side
    1,784.68x = 2,460,045.76
  5. Step 5: Solve for x
    x = 2,460,045.76/1,784.68
  6. Step 6: Final answer
    x = 1,378.42

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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.