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Finding the Fourth Proportional to 822.33, 1,134.51 and 542.70

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Solution

The fourth proportional to 822.33, 1,134.51 and 542.70 is: 748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.33 : 1,134.51 = 542.70 : x
  2. Step 2: Convert to fraction form
    822.33/1,134.51 = 542.70/x
  3. Step 3: Cross multiply
    822.33x = 1,134.51 × 542.70
  4. Step 4: Simplify right side
    822.33x = 615,698.58
  5. Step 5: Solve for x
    x = 615,698.58/822.33
  6. Step 6: Final answer
    x = 748.72

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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.