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Finding the Fourth Proportional to 1,242.72, 1,701.90 and 1,226.52

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Solution

The fourth proportional to 1,242.72, 1,701.90 and 1,226.52 is: 1,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.72 : 1,701.90 = 1,226.52 : x
  2. Step 2: Convert to fraction form
    1,242.72/1,701.90 = 1,226.52/x
  3. Step 3: Cross multiply
    1,242.72x = 1,701.90 × 1,226.52
  4. Step 4: Simplify right side
    1,242.72x = 2,087,414.39
  5. Step 5: Solve for x
    x = 2,087,414.39/1,242.72
  6. Step 6: Final answer
    x = 1,679.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.