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Finding the Fourth Proportional to 1,127.75, 1,691.81 and 397.53

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Solution

The fourth proportional to 1,127.75, 1,691.81 and 397.53 is: 596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.75 : 1,691.81 = 397.53 : x
  2. Step 2: Convert to fraction form
    1,127.75/1,691.81 = 397.53/x
  3. Step 3: Cross multiply
    1,127.75x = 1,691.81 × 397.53
  4. Step 4: Simplify right side
    1,127.75x = 672,543.24
  5. Step 5: Solve for x
    x = 672,543.24/1,127.75
  6. Step 6: Final answer
    x = 596.36

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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.