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Finding the Fourth Proportional to 892.05, 1,337.19 and 502.23

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Solution

The fourth proportional to 892.05, 1,337.19 and 502.23 is: 752.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.05 : 1,337.19 = 502.23 : x
  2. Step 2: Convert to fraction form
    892.05/1,337.19 = 502.23/x
  3. Step 3: Cross multiply
    892.05x = 1,337.19 × 502.23
  4. Step 4: Simplify right side
    892.05x = 671,576.93
  5. Step 5: Solve for x
    x = 671,576.93/892.05
  6. Step 6: Final answer
    x = 752.85

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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.