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Finding the Fourth Proportional to 1,002.52, 1,502.82 and 771.04

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Solution

The fourth proportional to 1,002.52, 1,502.82 and 771.04 is: 1,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.52 : 1,502.82 = 771.04 : x
  2. Step 2: Convert to fraction form
    1,002.52/1,502.82 = 771.04/x
  3. Step 3: Cross multiply
    1,002.52x = 1,502.82 × 771.04
  4. Step 4: Simplify right side
    1,002.52x = 1,158,734.33
  5. Step 5: Solve for x
    x = 1,158,734.33/1,002.52
  6. Step 6: Final answer
    x = 1,155.82

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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.