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Finding the Fourth Proportional to 822.23, 1,134.17 and 542.36

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Solution

The fourth proportional to 822.23, 1,134.17 and 542.36 is: 748.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.23 : 1,134.17 = 542.36 : x
  2. Step 2: Convert to fraction form
    822.23/1,134.17 = 542.36/x
  3. Step 3: Cross multiply
    822.23x = 1,134.17 × 542.36
  4. Step 4: Simplify right side
    822.23x = 615,122.77
  5. Step 5: Solve for x
    x = 615,122.77/822.23
  6. Step 6: Final answer
    x = 748.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.