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Finding the Fourth Proportional to 723.87, 1,086.53 and 563.31

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Solution

The fourth proportional to 723.87, 1,086.53 and 563.31 is: 845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.87 : 1,086.53 = 563.31 : x
  2. Step 2: Convert to fraction form
    723.87/1,086.53 = 563.31/x
  3. Step 3: Cross multiply
    723.87x = 1,086.53 × 563.31
  4. Step 4: Simplify right side
    723.87x = 612,050.40
  5. Step 5: Solve for x
    x = 612,050.40/723.87
  6. Step 6: Final answer
    x = 845.53

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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.