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Finding the Fourth Proportional to 1,067.11, 1,472.53 and 594.97

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Solution

The fourth proportional to 1,067.11, 1,472.53 and 594.97 is: 821.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.11 : 1,472.53 = 594.97 : x
  2. Step 2: Convert to fraction form
    1,067.11/1,472.53 = 594.97/x
  3. Step 3: Cross multiply
    1,067.11x = 1,472.53 × 594.97
  4. Step 4: Simplify right side
    1,067.11x = 876,111.17
  5. Step 5: Solve for x
    x = 876,111.17/1,067.11
  6. Step 6: Final answer
    x = 821.01

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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.