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Finding the Fourth Proportional to 1,249.15, 1,873.19 and 960.79

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Solution

The fourth proportional to 1,249.15, 1,873.19 and 960.79 is: 1,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.15 : 1,873.19 = 960.79 : x
  2. Step 2: Convert to fraction form
    1,249.15/1,873.19 = 960.79/x
  3. Step 3: Cross multiply
    1,249.15x = 1,873.19 × 960.79
  4. Step 4: Simplify right side
    1,249.15x = 1,799,737.42
  5. Step 5: Solve for x
    x = 1,799,737.42/1,249.15
  6. Step 6: Final answer
    x = 1,440.77

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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.