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Finding the Fourth Proportional to 861.84, 1,293.02 and 313.92

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Solution

The fourth proportional to 861.84, 1,293.02 and 313.92 is: 470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.84 : 1,293.02 = 313.92 : x
  2. Step 2: Convert to fraction form
    861.84/1,293.02 = 313.92/x
  3. Step 3: Cross multiply
    861.84x = 1,293.02 × 313.92
  4. Step 4: Simplify right side
    861.84x = 405,899.16
  5. Step 5: Solve for x
    x = 405,899.16/861.84
  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.