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Finding the Fourth Proportional to 724.68, 1,080 and 701.28

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Solution

The fourth proportional to 724.68, 1,080 and 701.28 is: 1,045.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.68 : 1,080 = 701.28 : x
  2. Step 2: Convert to fraction form
    724.68/1,080 = 701.28/x
  3. Step 3: Cross multiply
    724.68x = 1,080 × 701.28
  4. Step 4: Simplify right side
    724.68x = 757,382.40
  5. Step 5: Solve for x
    x = 757,382.40/724.68
  6. Step 6: Final answer
    x = 1,045.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.