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Finding the Fourth Proportional to 1,414.24, 1,951.65 and 784.87

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Solution

The fourth proportional to 1,414.24, 1,951.65 and 784.87 is: 1,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.24 : 1,951.65 = 784.87 : x
  2. Step 2: Convert to fraction form
    1,414.24/1,951.65 = 784.87/x
  3. Step 3: Cross multiply
    1,414.24x = 1,951.65 × 784.87
  4. Step 4: Simplify right side
    1,414.24x = 1,531,788.62
  5. Step 5: Solve for x
    x = 1,531,788.62/1,414.24
  6. Step 6: Final answer
    x = 1,083.12

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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.