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Finding the Fourth Proportional to 724.81, 1,087.77 and 584.44

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Solution

The fourth proportional to 724.81, 1,087.77 and 584.44 is: 877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.81 : 1,087.77 = 584.44 : x
  2. Step 2: Convert to fraction form
    724.81/1,087.77 = 584.44/x
  3. Step 3: Cross multiply
    724.81x = 1,087.77 × 584.44
  4. Step 4: Simplify right side
    724.81x = 635,730.97
  5. Step 5: Solve for x
    x = 635,730.97/724.81
  6. Step 6: Final answer
    x = 877.10

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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.