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Finding the Fourth Proportional to 1,067.86, 1,473.42 and 625.60

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Solution

The fourth proportional to 1,067.86, 1,473.42 and 625.60 is: 863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.86 : 1,473.42 = 625.60 : x
  2. Step 2: Convert to fraction form
    1,067.86/1,473.42 = 625.60/x
  3. Step 3: Cross multiply
    1,067.86x = 1,473.42 × 625.60
  4. Step 4: Simplify right side
    1,067.86x = 921,771.55
  5. Step 5: Solve for x
    x = 921,771.55/1,067.86
  6. Step 6: Final answer
    x = 863.20

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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.