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Finding the Fourth Proportional to 1,414.10, 1,951.70 and 824.63

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Solution

The fourth proportional to 1,414.10, 1,951.70 and 824.63 is: 1,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.10 : 1,951.70 = 824.63 : x
  2. Step 2: Convert to fraction form
    1,414.10/1,951.70 = 824.63/x
  3. Step 3: Cross multiply
    1,414.10x = 1,951.70 × 824.63
  4. Step 4: Simplify right side
    1,414.10x = 1,609,430.37
  5. Step 5: Solve for x
    x = 1,609,430.37/1,414.10
  6. Step 6: Final answer
    x = 1,138.13

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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.