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Finding the Fourth Proportional to 1,414.11, 1,950.57 and 875.61

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Solution

The fourth proportional to 1,414.11, 1,950.57 and 875.61 is: 1,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.11 : 1,950.57 = 875.61 : x
  2. Step 2: Convert to fraction form
    1,414.11/1,950.57 = 875.61/x
  3. Step 3: Cross multiply
    1,414.11x = 1,950.57 × 875.61
  4. Step 4: Simplify right side
    1,414.11x = 1,707,937.37
  5. Step 5: Solve for x
    x = 1,707,937.37/1,414.11
  6. Step 6: Final answer
    x = 1,207.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.