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Finding the Fourth Proportional to 1,087.56, 1,632.15 and 873.72

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Solution

The fourth proportional to 1,087.56, 1,632.15 and 873.72 is: 1,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.56 : 1,632.15 = 873.72 : x
  2. Step 2: Convert to fraction form
    1,087.56/1,632.15 = 873.72/x
  3. Step 3: Cross multiply
    1,087.56x = 1,632.15 × 873.72
  4. Step 4: Simplify right side
    1,087.56x = 1,426,042.10
  5. Step 5: Solve for x
    x = 1,426,042.10/1,087.56
  6. Step 6: Final answer
    x = 1,311.23

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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.