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Finding the Fourth Proportional to 1,067.12, 1,472.57 and 594.99

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Solution

The fourth proportional to 1,067.12, 1,472.57 and 594.99 is: 821.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.12 : 1,472.57 = 594.99 : x
  2. Step 2: Convert to fraction form
    1,067.12/1,472.57 = 594.99/x
  3. Step 3: Cross multiply
    1,067.12x = 1,472.57 × 594.99
  4. Step 4: Simplify right side
    1,067.12x = 876,164.42
  5. Step 5: Solve for x
    x = 876,164.42/1,067.12
  6. Step 6: Final answer
    x = 821.06

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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.