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Finding the Fourth Proportional to 1,165.24, 1,748.47 and 754.27

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Solution

The fourth proportional to 1,165.24, 1,748.47 and 754.27 is: 1,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.24 : 1,748.47 = 754.27 : x
  2. Step 2: Convert to fraction form
    1,165.24/1,748.47 = 754.27/x
  3. Step 3: Cross multiply
    1,165.24x = 1,748.47 × 754.27
  4. Step 4: Simplify right side
    1,165.24x = 1,318,812.21
  5. Step 5: Solve for x
    x = 1,318,812.21/1,165.24
  6. Step 6: Final answer
    x = 1,131.80

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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.