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Finding the Fourth Proportional to 724.84, 1,000.44 and 426.22

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Solution

The fourth proportional to 724.84, 1,000.44 and 426.22 is: 588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.84 : 1,000.44 = 426.22 : x
  2. Step 2: Convert to fraction form
    724.84/1,000.44 = 426.22/x
  3. Step 3: Cross multiply
    724.84x = 1,000.44 × 426.22
  4. Step 4: Simplify right side
    724.84x = 426,407.54
  5. Step 5: Solve for x
    x = 426,407.54/724.84
  6. Step 6: Final answer
    x = 588.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.