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Finding the Fourth Proportional to 1,127.71, 1,691.78 and 511.71

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Solution

The fourth proportional to 1,127.71, 1,691.78 and 511.71 is: 767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.71 : 1,691.78 = 511.71 : x
  2. Step 2: Convert to fraction form
    1,127.71/1,691.78 = 511.71/x
  3. Step 3: Cross multiply
    1,127.71x = 1,691.78 × 511.71
  4. Step 4: Simplify right side
    1,127.71x = 865,700.74
  5. Step 5: Solve for x
    x = 865,700.74/1,127.71
  6. Step 6: Final answer
    x = 767.66

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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.