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Finding the Fourth Proportional to 759.64, 1,140.54 and 724.84

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Solution

The fourth proportional to 759.64, 1,140.54 and 724.84 is: 1,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.64 : 1,140.54 = 724.84 : x
  2. Step 2: Convert to fraction form
    759.64/1,140.54 = 724.84/x
  3. Step 3: Cross multiply
    759.64x = 1,140.54 × 724.84
  4. Step 4: Simplify right side
    759.64x = 826,709.01
  5. Step 5: Solve for x
    x = 826,709.01/759.64
  6. Step 6: Final answer
    x = 1,088.29

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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.