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Finding the Fourth Proportional to 822.12, 1,134.96 and 542.58

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Solution

The fourth proportional to 822.12, 1,134.96 and 542.58 is: 749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.12 : 1,134.96 = 542.58 : x
  2. Step 2: Convert to fraction form
    822.12/1,134.96 = 542.58/x
  3. Step 3: Cross multiply
    822.12x = 1,134.96 × 542.58
  4. Step 4: Simplify right side
    822.12x = 615,806.60
  5. Step 5: Solve for x
    x = 615,806.60/822.12
  6. Step 6: Final answer
    x = 749.05

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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.