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Finding the Fourth Proportional to 1,067.06, 1,472.52 and 625.00

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Solution

The fourth proportional to 1,067.06, 1,472.52 and 625.00 is: 862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.06 : 1,472.52 = 625.00 : x
  2. Step 2: Convert to fraction form
    1,067.06/1,472.52 = 625.00/x
  3. Step 3: Cross multiply
    1,067.06x = 1,472.52 × 625.00
  4. Step 4: Simplify right side
    1,067.06x = 920,321.32
  5. Step 5: Solve for x
    x = 920,321.32/1,067.06
  6. Step 6: Final answer
    x = 862.49

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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.