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Finding the Fourth Proportional to 1,155.18, 1,731.39 and 881.80

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Solution

The fourth proportional to 1,155.18, 1,731.39 and 881.80 is: 1,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.18 : 1,731.39 = 881.80 : x
  2. Step 2: Convert to fraction form
    1,155.18/1,731.39 = 881.80/x
  3. Step 3: Cross multiply
    1,155.18x = 1,731.39 × 881.80
  4. Step 4: Simplify right side
    1,155.18x = 1,526,739.70
  5. Step 5: Solve for x
    x = 1,526,739.70/1,155.18
  6. Step 6: Final answer
    x = 1,321.65

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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.