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Finding the Fourth Proportional to 820.04, 1,229.88 and 242.78

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Solution

The fourth proportional to 820.04, 1,229.88 and 242.78 is: 364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.04 : 1,229.88 = 242.78 : x
  2. Step 2: Convert to fraction form
    820.04/1,229.88 = 242.78/x
  3. Step 3: Cross multiply
    820.04x = 1,229.88 × 242.78
  4. Step 4: Simplify right side
    820.04x = 298,590.27
  5. Step 5: Solve for x
    x = 298,590.27/820.04
  6. Step 6: Final answer
    x = 364.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.