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Finding the Fourth Proportional to 1,067.38, 1,472.69 and 689.11

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Solution

The fourth proportional to 1,067.38, 1,472.69 and 689.11 is: 950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.38 : 1,472.69 = 689.11 : x
  2. Step 2: Convert to fraction form
    1,067.38/1,472.69 = 689.11/x
  3. Step 3: Cross multiply
    1,067.38x = 1,472.69 × 689.11
  4. Step 4: Simplify right side
    1,067.38x = 1,014,845.41
  5. Step 5: Solve for x
    x = 1,014,845.41/1,067.38
  6. Step 6: Final answer
    x = 950.78

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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.