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Finding the Fourth Proportional to 712.86, 1,069.29 and 424.38

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Solution

The fourth proportional to 712.86, 1,069.29 and 424.38 is: 636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.86 : 1,069.29 = 424.38 : x
  2. Step 2: Convert to fraction form
    712.86/1,069.29 = 424.38/x
  3. Step 3: Cross multiply
    712.86x = 1,069.29 × 424.38
  4. Step 4: Simplify right side
    712.86x = 453,785.29
  5. Step 5: Solve for x
    x = 453,785.29/712.86
  6. Step 6: Final answer
    x = 636.57

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