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Finding the Fourth Proportional to 1,638.48, 2,454.98 and 712.65

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Solution

The fourth proportional to 1,638.48, 2,454.98 and 712.65 is: 1,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.48 : 2,454.98 = 712.65 : x
  2. Step 2: Convert to fraction form
    1,638.48/2,454.98 = 712.65/x
  3. Step 3: Cross multiply
    1,638.48x = 2,454.98 × 712.65
  4. Step 4: Simplify right side
    1,638.48x = 1,749,543.28
  5. Step 5: Solve for x
    x = 1,749,543.28/1,638.48
  6. Step 6: Final answer
    x = 1,067.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.