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Finding the Fourth Proportional to 1,103.73, 1,654.53 and 410.21

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Solution

The fourth proportional to 1,103.73, 1,654.53 and 410.21 is: 614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.73 : 1,654.53 = 410.21 : x
  2. Step 2: Convert to fraction form
    1,103.73/1,654.53 = 410.21/x
  3. Step 3: Cross multiply
    1,103.73x = 1,654.53 × 410.21
  4. Step 4: Simplify right side
    1,103.73x = 678,704.75
  5. Step 5: Solve for x
    x = 678,704.75/1,103.73
  6. Step 6: Final answer
    x = 614.92

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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.