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Finding the Fourth Proportional to 1,067.64, 1,473.12 and 625.44

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Solution

The fourth proportional to 1,067.64, 1,473.12 and 625.44 is: 862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.64 : 1,473.12 = 625.44 : x
  2. Step 2: Convert to fraction form
    1,067.64/1,473.12 = 625.44/x
  3. Step 3: Cross multiply
    1,067.64x = 1,473.12 × 625.44
  4. Step 4: Simplify right side
    1,067.64x = 921,348.17
  5. Step 5: Solve for x
    x = 921,348.17/1,067.64
  6. Step 6: Final answer
    x = 862.98

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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.