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Finding the Fourth Proportional to 742.52, 1,114.17 and 434.98

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Solution

The fourth proportional to 742.52, 1,114.17 and 434.98 is: 652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.52 : 1,114.17 = 434.98 : x
  2. Step 2: Convert to fraction form
    742.52/1,114.17 = 434.98/x
  3. Step 3: Cross multiply
    742.52x = 1,114.17 × 434.98
  4. Step 4: Simplify right side
    742.52x = 484,636.10
  5. Step 5: Solve for x
    x = 484,636.10/742.52
  6. Step 6: Final answer
    x = 652.69

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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.