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Finding the Fourth Proportional to 1,067.12, 1,472.40 and 601.28

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Solution

The fourth proportional to 1,067.12, 1,472.40 and 601.28 is: 829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.12 : 1,472.40 = 601.28 : x
  2. Step 2: Convert to fraction form
    1,067.12/1,472.40 = 601.28/x
  3. Step 3: Cross multiply
    1,067.12x = 1,472.40 × 601.28
  4. Step 4: Simplify right side
    1,067.12x = 885,324.67
  5. Step 5: Solve for x
    x = 885,324.67/1,067.12
  6. Step 6: Final answer
    x = 829.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.