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Finding the Fourth Proportional to 1,414.32, 1,951.44 and 824.94

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Solution

The fourth proportional to 1,414.32, 1,951.44 and 824.94 is: 1,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.32 : 1,951.44 = 824.94 : x
  2. Step 2: Convert to fraction form
    1,414.32/1,951.44 = 824.94/x
  3. Step 3: Cross multiply
    1,414.32x = 1,951.44 × 824.94
  4. Step 4: Simplify right side
    1,414.32x = 1,609,820.91
  5. Step 5: Solve for x
    x = 1,609,820.91/1,414.32
  6. Step 6: Final answer
    x = 1,138.23

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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.