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Finding the Fourth Proportional to 1,400.18, 1,933 and 876.38

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Solution

The fourth proportional to 1,400.18, 1,933 and 876.38 is: 1,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.18 : 1,933 = 876.38 : x
  2. Step 2: Convert to fraction form
    1,400.18/1,933 = 876.38/x
  3. Step 3: Cross multiply
    1,400.18x = 1,933 × 876.38
  4. Step 4: Simplify right side
    1,400.18x = 1,694,042.54
  5. Step 5: Solve for x
    x = 1,694,042.54/1,400.18
  6. Step 6: Final answer
    x = 1,209.87

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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.