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Finding the Fourth Proportional to 1,502.92, 2,253.33 and 565.48

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Solution

The fourth proportional to 1,502.92, 2,253.33 and 565.48 is: 847.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.92 : 2,253.33 = 565.48 : x
  2. Step 2: Convert to fraction form
    1,502.92/2,253.33 = 565.48/x
  3. Step 3: Cross multiply
    1,502.92x = 2,253.33 × 565.48
  4. Step 4: Simplify right side
    1,502.92x = 1,274,213.05
  5. Step 5: Solve for x
    x = 1,274,213.05/1,502.92
  6. Step 6: Final answer
    x = 847.82

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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.