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Finding the Fourth Proportional to 1,502.87, 2,255.11 and 773.87

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Solution

The fourth proportional to 1,502.87, 2,255.11 and 773.87 is: 1,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.87 : 2,255.11 = 773.87 : x
  2. Step 2: Convert to fraction form
    1,502.87/2,255.11 = 773.87/x
  3. Step 3: Cross multiply
    1,502.87x = 2,255.11 × 773.87
  4. Step 4: Simplify right side
    1,502.87x = 1,745,148.77
  5. Step 5: Solve for x
    x = 1,745,148.77/1,502.87
  6. Step 6: Final answer
    x = 1,161.21

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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.