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Finding the Fourth Proportional to 800.68, 1,105.32 and 539.12

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Solution

The fourth proportional to 800.68, 1,105.32 and 539.12 is: 744.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.68 : 1,105.32 = 539.12 : x
  2. Step 2: Convert to fraction form
    800.68/1,105.32 = 539.12/x
  3. Step 3: Cross multiply
    800.68x = 1,105.32 × 539.12
  4. Step 4: Simplify right side
    800.68x = 595,900.12
  5. Step 5: Solve for x
    x = 595,900.12/800.68
  6. Step 6: Final answer
    x = 744.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.