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Finding the Fourth Proportional to 816.57, 1,223.17 and 542.79

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Solution

The fourth proportional to 816.57, 1,223.17 and 542.79 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.57 : 1,223.17 = 542.79 : x
  2. Step 2: Convert to fraction form
    816.57/1,223.17 = 542.79/x
  3. Step 3: Cross multiply
    816.57x = 1,223.17 × 542.79
  4. Step 4: Simplify right side
    816.57x = 663,921.73
  5. Step 5: Solve for x
    x = 663,921.73/816.57
  6. Step 6: Final answer
    x = 813.06

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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.