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Finding the Fourth Proportional to 1,102.82, 1,654.20 and 372.39

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Solution

The fourth proportional to 1,102.82, 1,654.20 and 372.39 is: 558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.82 : 1,654.20 = 372.39 : x
  2. Step 2: Convert to fraction form
    1,102.82/1,654.20 = 372.39/x
  3. Step 3: Cross multiply
    1,102.82x = 1,654.20 × 372.39
  4. Step 4: Simplify right side
    1,102.82x = 616,007.54
  5. Step 5: Solve for x
    x = 616,007.54/1,102.82
  6. Step 6: Final answer
    x = 558.58

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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.