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Finding the Fourth Proportional to 1,067.28, 1,472.85 and 601.50

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Solution

The fourth proportional to 1,067.28, 1,472.85 and 601.50 is: 830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.28 : 1,472.85 = 601.50 : x
  2. Step 2: Convert to fraction form
    1,067.28/1,472.85 = 601.50/x
  3. Step 3: Cross multiply
    1,067.28x = 1,472.85 × 601.50
  4. Step 4: Simplify right side
    1,067.28x = 885,919.28
  5. Step 5: Solve for x
    x = 885,919.28/1,067.28
  6. Step 6: Final answer
    x = 830.07

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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.