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Finding the Fourth Proportional to 861.25, 1,292.13 and 313.43

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Solution

The fourth proportional to 861.25, 1,292.13 and 313.43 is: 470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.25 : 1,292.13 = 313.43 : x
  2. Step 2: Convert to fraction form
    861.25/1,292.13 = 313.43/x
  3. Step 3: Cross multiply
    861.25x = 1,292.13 × 313.43
  4. Step 4: Simplify right side
    861.25x = 404,992.31
  5. Step 5: Solve for x
    x = 404,992.31/861.25
  6. Step 6: Final answer
    x = 470.24

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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.