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Finding the Fourth Proportional to 1,174.57, 1,761.72 and 308.95

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Solution

The fourth proportional to 1,174.57, 1,761.72 and 308.95 is: 463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.57 : 1,761.72 = 308.95 : x
  2. Step 2: Convert to fraction form
    1,174.57/1,761.72 = 308.95/x
  3. Step 3: Cross multiply
    1,174.57x = 1,761.72 × 308.95
  4. Step 4: Simplify right side
    1,174.57x = 544,277.83
  5. Step 5: Solve for x
    x = 544,277.83/1,174.57
  6. Step 6: Final answer
    x = 463.39

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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.