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Finding the Fourth Proportional to 712.81, 1,069.17 and 424

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Solution

The fourth proportional to 712.81, 1,069.17 and 424 is: 635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.81 : 1,069.17 = 424 : x
  2. Step 2: Convert to fraction form
    712.81/1,069.17 = 424/x
  3. Step 3: Cross multiply
    712.81x = 1,069.17 × 424
  4. Step 4: Simplify right side
    712.81x = 453,328.08
  5. Step 5: Solve for x
    x = 453,328.08/712.81
  6. Step 6: Final answer
    x = 635.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.