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Finding the Fourth Proportional to 861.29, 1,292.14 and 313.48

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Solution

The fourth proportional to 861.29, 1,292.14 and 313.48 is: 470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.29 : 1,292.14 = 313.48 : x
  2. Step 2: Convert to fraction form
    861.29/1,292.14 = 313.48/x
  3. Step 3: Cross multiply
    861.29x = 1,292.14 × 313.48
  4. Step 4: Simplify right side
    861.29x = 405,060.29
  5. Step 5: Solve for x
    x = 405,060.29/861.29
  6. Step 6: Final answer
    x = 470.29

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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.