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Finding the Fourth Proportional to 1,103.13, 1,654.74 and 372.71

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Solution

The fourth proportional to 1,103.13, 1,654.74 and 372.71 is: 559.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.13 : 1,654.74 = 372.71 : x
  2. Step 2: Convert to fraction form
    1,103.13/1,654.74 = 372.71/x
  3. Step 3: Cross multiply
    1,103.13x = 1,654.74 × 372.71
  4. Step 4: Simplify right side
    1,103.13x = 616,738.15
  5. Step 5: Solve for x
    x = 616,738.15/1,103.13
  6. Step 6: Final answer
    x = 559.08

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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.