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Finding the Fourth Proportional to 1,228.97, 1,695.22 and 731.27

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Solution

The fourth proportional to 1,228.97, 1,695.22 and 731.27 is: 1,008.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.97 : 1,695.22 = 731.27 : x
  2. Step 2: Convert to fraction form
    1,228.97/1,695.22 = 731.27/x
  3. Step 3: Cross multiply
    1,228.97x = 1,695.22 × 731.27
  4. Step 4: Simplify right side
    1,228.97x = 1,239,663.53
  5. Step 5: Solve for x
    x = 1,239,663.53/1,228.97
  6. Step 6: Final answer
    x = 1,008.70

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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.