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Finding the Fourth Proportional to 861.69, 1,292.47 and 314.00

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Solution

The fourth proportional to 861.69, 1,292.47 and 314.00 is: 470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.69 : 1,292.47 = 314.00 : x
  2. Step 2: Convert to fraction form
    861.69/1,292.47 = 314.00/x
  3. Step 3: Cross multiply
    861.69x = 1,292.47 × 314.00
  4. Step 4: Simplify right side
    861.69x = 405,828.33
  5. Step 5: Solve for x
    x = 405,828.33/861.69
  6. Step 6: Final answer
    x = 470.97

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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.