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Finding the Fourth Proportional to 724.85, 1,000.05 and 444.94

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Solution

The fourth proportional to 724.85, 1,000.05 and 444.94 is: 613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.85 : 1,000.05 = 444.94 : x
  2. Step 2: Convert to fraction form
    724.85/1,000.05 = 444.94/x
  3. Step 3: Cross multiply
    724.85x = 1,000.05 × 444.94
  4. Step 4: Simplify right side
    724.85x = 444,962.25
  5. Step 5: Solve for x
    x = 444,962.25/724.85
  6. Step 6: Final answer
    x = 613.87

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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.