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Finding the Fourth Proportional to 724.18, 1,084.19 and 649.05

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Solution

The fourth proportional to 724.18, 1,084.19 and 649.05 is: 971.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.18 : 1,084.19 = 649.05 : x
  2. Step 2: Convert to fraction form
    724.18/1,084.19 = 649.05/x
  3. Step 3: Cross multiply
    724.18x = 1,084.19 × 649.05
  4. Step 4: Simplify right side
    724.18x = 703,693.52
  5. Step 5: Solve for x
    x = 703,693.52/724.18
  6. Step 6: Final answer
    x = 971.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.