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Finding the Fourth Proportional to 1,174.28, 1,761.42 and 404.78

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Solution

The fourth proportional to 1,174.28, 1,761.42 and 404.78 is: 607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.28 : 1,761.42 = 404.78 : x
  2. Step 2: Convert to fraction form
    1,174.28/1,761.42 = 404.78/x
  3. Step 3: Cross multiply
    1,174.28x = 1,761.42 × 404.78
  4. Step 4: Simplify right side
    1,174.28x = 712,987.59
  5. Step 5: Solve for x
    x = 712,987.59/1,174.28
  6. Step 6: Final answer
    x = 607.17

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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.