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Finding the Fourth Proportional to 669.22, 1,003.84 and 532.56

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Solution

The fourth proportional to 669.22, 1,003.84 and 532.56 is: 798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.22 : 1,003.84 = 532.56 : x
  2. Step 2: Convert to fraction form
    669.22/1,003.84 = 532.56/x
  3. Step 3: Cross multiply
    669.22x = 1,003.84 × 532.56
  4. Step 4: Simplify right side
    669.22x = 534,605.03
  5. Step 5: Solve for x
    x = 534,605.03/669.22
  6. Step 6: Final answer
    x = 798.85

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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.