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Finding the Fourth Proportional to 1,103.13, 1,654.70 and 372.78

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Solution

The fourth proportional to 1,103.13, 1,654.70 and 372.78 is: 559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.13 : 1,654.70 = 372.78 : x
  2. Step 2: Convert to fraction form
    1,103.13/1,654.70 = 372.78/x
  3. Step 3: Cross multiply
    1,103.13x = 1,654.70 × 372.78
  4. Step 4: Simplify right side
    1,103.13x = 616,839.07
  5. Step 5: Solve for x
    x = 616,839.07/1,103.13
  6. Step 6: Final answer
    x = 559.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.