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Finding the Fourth Proportional to 1,067.10, 1,472.54 and 625.24

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Solution

The fourth proportional to 1,067.10, 1,472.54 and 625.24 is: 862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.10 : 1,472.54 = 625.24 : x
  2. Step 2: Convert to fraction form
    1,067.10/1,472.54 = 625.24/x
  3. Step 3: Cross multiply
    1,067.10x = 1,472.54 × 625.24
  4. Step 4: Simplify right side
    1,067.10x = 920,690.91
  5. Step 5: Solve for x
    x = 920,690.91/1,067.10
  6. Step 6: Final answer
    x = 862.80

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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.