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Finding the Fourth Proportional to 762.55, 1,142.17 and 414.88

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Solution

The fourth proportional to 762.55, 1,142.17 and 414.88 is: 621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.55 : 1,142.17 = 414.88 : x
  2. Step 2: Convert to fraction form
    762.55/1,142.17 = 414.88/x
  3. Step 3: Cross multiply
    762.55x = 1,142.17 × 414.88
  4. Step 4: Simplify right side
    762.55x = 473,859.60
  5. Step 5: Solve for x
    x = 473,859.60/762.55
  6. Step 6: Final answer
    x = 621.42

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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.