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Finding the Fourth Proportional to 1,113.91, 1,669.17 and 881.83

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Solution

The fourth proportional to 1,113.91, 1,669.17 and 881.83 is: 1,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.91 : 1,669.17 = 881.83 : x
  2. Step 2: Convert to fraction form
    1,113.91/1,669.17 = 881.83/x
  3. Step 3: Cross multiply
    1,113.91x = 1,669.17 × 881.83
  4. Step 4: Simplify right side
    1,113.91x = 1,471,924.18
  5. Step 5: Solve for x
    x = 1,471,924.18/1,113.91
  6. Step 6: Final answer
    x = 1,321.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.