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Finding the Fourth Proportional to 881.30, 1,313.38 and 862.85

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Solution

The fourth proportional to 881.30, 1,313.38 and 862.85 is: 1,285.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.30 : 1,313.38 = 862.85 : x
  2. Step 2: Convert to fraction form
    881.30/1,313.38 = 862.85/x
  3. Step 3: Cross multiply
    881.30x = 1,313.38 × 862.85
  4. Step 4: Simplify right side
    881.30x = 1,133,249.93
  5. Step 5: Solve for x
    x = 1,133,249.93/881.30
  6. Step 6: Final answer
    x = 1,285.88

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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.