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Finding the Fourth Proportional to 1,132.16, 1,563.20 and 871.92

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Solution

The fourth proportional to 1,132.16, 1,563.20 and 871.92 is: 1,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.16 : 1,563.20 = 871.92 : x
  2. Step 2: Convert to fraction form
    1,132.16/1,563.20 = 871.92/x
  3. Step 3: Cross multiply
    1,132.16x = 1,563.20 × 871.92
  4. Step 4: Simplify right side
    1,132.16x = 1,362,985.34
  5. Step 5: Solve for x
    x = 1,362,985.34/1,132.16
  6. Step 6: Final answer
    x = 1,203.88

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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.