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Finding the Fourth Proportional to 881.28, 1,315.44 and 871.56

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Solution

The fourth proportional to 881.28, 1,315.44 and 871.56 is: 1,300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.28 : 1,315.44 = 871.56 : x
  2. Step 2: Convert to fraction form
    881.28/1,315.44 = 871.56/x
  3. Step 3: Cross multiply
    881.28x = 1,315.44 × 871.56
  4. Step 4: Simplify right side
    881.28x = 1,146,484.89
  5. Step 5: Solve for x
    x = 1,146,484.89/881.28
  6. Step 6: Final answer
    x = 1,300.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.