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Finding the Fourth Proportional to 1,115.38, 1,671.48 and 820.57

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Solution

The fourth proportional to 1,115.38, 1,671.48 and 820.57 is: 1,229.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.38 : 1,671.48 = 820.57 : x
  2. Step 2: Convert to fraction form
    1,115.38/1,671.48 = 820.57/x
  3. Step 3: Cross multiply
    1,115.38x = 1,671.48 × 820.57
  4. Step 4: Simplify right side
    1,115.38x = 1,371,566.34
  5. Step 5: Solve for x
    x = 1,371,566.34/1,115.38
  6. Step 6: Final answer
    x = 1,229.69

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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.