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Finding the Fourth Proportional to 767.14, 1,149.20 and 506.35

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Solution

The fourth proportional to 767.14, 1,149.20 and 506.35 is: 758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.14 : 1,149.20 = 506.35 : x
  2. Step 2: Convert to fraction form
    767.14/1,149.20 = 506.35/x
  3. Step 3: Cross multiply
    767.14x = 1,149.20 × 506.35
  4. Step 4: Simplify right side
    767.14x = 581,897.42
  5. Step 5: Solve for x
    x = 581,897.42/767.14
  6. Step 6: Final answer
    x = 758.53

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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.