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Finding the Fourth Proportional to 723.57, 1,083.98 and 560.45

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Solution

The fourth proportional to 723.57, 1,083.98 and 560.45 is: 839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.57 : 1,083.98 = 560.45 : x
  2. Step 2: Convert to fraction form
    723.57/1,083.98 = 560.45/x
  3. Step 3: Cross multiply
    723.57x = 1,083.98 × 560.45
  4. Step 4: Simplify right side
    723.57x = 607,520.70
  5. Step 5: Solve for x
    x = 607,520.70/723.57
  6. Step 6: Final answer
    x = 839.62

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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.