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Finding the Fourth Proportional to 1,414.26, 1,951.75 and 824.76

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Solution

The fourth proportional to 1,414.26, 1,951.75 and 824.76 is: 1,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.26 : 1,951.75 = 824.76 : x
  2. Step 2: Convert to fraction form
    1,414.26/1,951.75 = 824.76/x
  3. Step 3: Cross multiply
    1,414.26x = 1,951.75 × 824.76
  4. Step 4: Simplify right side
    1,414.26x = 1,609,725.33
  5. Step 5: Solve for x
    x = 1,609,725.33/1,414.26
  6. Step 6: Final answer
    x = 1,138.21

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1.5x scale

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.