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Finding the Fourth Proportional to 1,432.65, 1,976.88 and 873.15

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Solution

The fourth proportional to 1,432.65, 1,976.88 and 873.15 is: 1,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.65 : 1,976.88 = 873.15 : x
  2. Step 2: Convert to fraction form
    1,432.65/1,976.88 = 873.15/x
  3. Step 3: Cross multiply
    1,432.65x = 1,976.88 × 873.15
  4. Step 4: Simplify right side
    1,432.65x = 1,726,112.77
  5. Step 5: Solve for x
    x = 1,726,112.77/1,432.65
  6. Step 6: Final answer
    x = 1,204.84

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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.