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Finding the Fourth Proportional to 716.46, 1,073.70 and 424.02

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Solution

The fourth proportional to 716.46, 1,073.70 and 424.02 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.46 : 1,073.70 = 424.02 : x
  2. Step 2: Convert to fraction form
    716.46/1,073.70 = 424.02/x
  3. Step 3: Cross multiply
    716.46x = 1,073.70 × 424.02
  4. Step 4: Simplify right side
    716.46x = 455,270.27
  5. Step 5: Solve for x
    x = 455,270.27/716.46
  6. Step 6: Final answer
    x = 635.44

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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.