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Finding the Fourth Proportional to 767.27, 1,151.48 and 507.17

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Solution

The fourth proportional to 767.27, 1,151.48 and 507.17 is: 761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.27 : 1,151.48 = 507.17 : x
  2. Step 2: Convert to fraction form
    767.27/1,151.48 = 507.17/x
  3. Step 3: Cross multiply
    767.27x = 1,151.48 × 507.17
  4. Step 4: Simplify right side
    767.27x = 584,000.26
  5. Step 5: Solve for x
    x = 584,000.26/767.27
  6. Step 6: Final answer
    x = 761.14

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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.