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Finding the Fourth Proportional to 734.81, 1,013.87 and 424.13

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Solution

The fourth proportional to 734.81, 1,013.87 and 424.13 is: 585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.81 : 1,013.87 = 424.13 : x
  2. Step 2: Convert to fraction form
    734.81/1,013.87 = 424.13/x
  3. Step 3: Cross multiply
    734.81x = 1,013.87 × 424.13
  4. Step 4: Simplify right side
    734.81x = 430,008.67
  5. Step 5: Solve for x
    x = 430,008.67/734.81
  6. Step 6: Final answer
    x = 585.20

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Double scale
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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.