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Finding the Fourth Proportional to 1,171.30, 1,755.48 and 1,024.71

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Solution

The fourth proportional to 1,171.30, 1,755.48 and 1,024.71 is: 1,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.30 : 1,755.48 = 1,024.71 : x
  2. Step 2: Convert to fraction form
    1,171.30/1,755.48 = 1,024.71/x
  3. Step 3: Cross multiply
    1,171.30x = 1,755.48 × 1,024.71
  4. Step 4: Simplify right side
    1,171.30x = 1,798,857.91
  5. Step 5: Solve for x
    x = 1,798,857.91/1,171.30
  6. Step 6: Final answer
    x = 1,535.78

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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.