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Finding the Fourth Proportional to 1,520.37, 2,279.75 and 532.71

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Solution

The fourth proportional to 1,520.37, 2,279.75 and 532.71 is: 798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.37 : 2,279.75 = 532.71 : x
  2. Step 2: Convert to fraction form
    1,520.37/2,279.75 = 532.71/x
  3. Step 3: Cross multiply
    1,520.37x = 2,279.75 × 532.71
  4. Step 4: Simplify right side
    1,520.37x = 1,214,442.96
  5. Step 5: Solve for x
    x = 1,214,442.96/1,520.37
  6. Step 6: Final answer
    x = 798.78

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