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Finding the Fourth Proportional to 1,432.42, 1,976.90 and 873.20

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Solution

The fourth proportional to 1,432.42, 1,976.90 and 873.20 is: 1,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.42 : 1,976.90 = 873.20 : x
  2. Step 2: Convert to fraction form
    1,432.42/1,976.90 = 873.20/x
  3. Step 3: Cross multiply
    1,432.42x = 1,976.90 × 873.20
  4. Step 4: Simplify right side
    1,432.42x = 1,726,229.08
  5. Step 5: Solve for x
    x = 1,726,229.08/1,432.42
  6. Step 6: Final answer
    x = 1,205.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.