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Finding the Fourth Proportional to 1,067.56, 1,472.94 and 675.08

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Solution

The fourth proportional to 1,067.56, 1,472.94 and 675.08 is: 931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.56 : 1,472.94 = 675.08 : x
  2. Step 2: Convert to fraction form
    1,067.56/1,472.94 = 675.08/x
  3. Step 3: Cross multiply
    1,067.56x = 1,472.94 × 675.08
  4. Step 4: Simplify right side
    1,067.56x = 994,352.34
  5. Step 5: Solve for x
    x = 994,352.34/1,067.56
  6. Step 6: Final answer
    x = 931.43

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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.