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Finding the Fourth Proportional to 820.06, 1,230.52 and 542.40

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Solution

The fourth proportional to 820.06, 1,230.52 and 542.40 is: 813.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.06 : 1,230.52 = 542.40 : x
  2. Step 2: Convert to fraction form
    820.06/1,230.52 = 542.40/x
  3. Step 3: Cross multiply
    820.06x = 1,230.52 × 542.40
  4. Step 4: Simplify right side
    820.06x = 667,434.05
  5. Step 5: Solve for x
    x = 667,434.05/820.06
  6. Step 6: Final answer
    x = 813.88

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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.