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Finding the Fourth Proportional to 1,127.91, 1,691.58 and 347.71

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Solution

The fourth proportional to 1,127.91, 1,691.58 and 347.71 is: 521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.91 : 1,691.58 = 347.71 : x
  2. Step 2: Convert to fraction form
    1,127.91/1,691.58 = 347.71/x
  3. Step 3: Cross multiply
    1,127.91x = 1,691.58 × 347.71
  4. Step 4: Simplify right side
    1,127.91x = 588,169.09
  5. Step 5: Solve for x
    x = 588,169.09/1,127.91
  6. Step 6: Final answer
    x = 521.47

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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.