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Finding the Fourth Proportional to 1,026.39, 1,414.41 and 957.14

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Solution

The fourth proportional to 1,026.39, 1,414.41 and 957.14 is: 1,318.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.39 : 1,414.41 = 957.14 : x
  2. Step 2: Convert to fraction form
    1,026.39/1,414.41 = 957.14/x
  3. Step 3: Cross multiply
    1,026.39x = 1,414.41 × 957.14
  4. Step 4: Simplify right side
    1,026.39x = 1,353,781.32
  5. Step 5: Solve for x
    x = 1,353,781.32/1,026.39
  6. Step 6: Final answer
    x = 1,318.97

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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.