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Finding the Fourth Proportional to 769.91, 1,061.65 and 507.47

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Solution

The fourth proportional to 769.91, 1,061.65 and 507.47 is: 699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.91 : 1,061.65 = 507.47 : x
  2. Step 2: Convert to fraction form
    769.91/1,061.65 = 507.47/x
  3. Step 3: Cross multiply
    769.91x = 1,061.65 × 507.47
  4. Step 4: Simplify right side
    769.91x = 538,755.53
  5. Step 5: Solve for x
    x = 538,755.53/769.91
  6. Step 6: Final answer
    x = 699.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.