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Finding the Fourth Proportional to 1,067.74, 1,473.47 and 625.55

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Solution

The fourth proportional to 1,067.74, 1,473.47 and 625.55 is: 863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.74 : 1,473.47 = 625.55 : x
  2. Step 2: Convert to fraction form
    1,067.74/1,473.47 = 625.55/x
  3. Step 3: Cross multiply
    1,067.74x = 1,473.47 × 625.55
  4. Step 4: Simplify right side
    1,067.74x = 921,729.16
  5. Step 5: Solve for x
    x = 921,729.16/1,067.74
  6. Step 6: Final answer
    x = 863.25

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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.