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Finding the Fourth Proportional to 861.84, 1,293.37 and 466.97

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Solution

The fourth proportional to 861.84, 1,293.37 and 466.97 is: 700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.84 : 1,293.37 = 466.97 : x
  2. Step 2: Convert to fraction form
    861.84/1,293.37 = 466.97/x
  3. Step 3: Cross multiply
    861.84x = 1,293.37 × 466.97
  4. Step 4: Simplify right side
    861.84x = 603,957.35
  5. Step 5: Solve for x
    x = 603,957.35/861.84
  6. Step 6: Final answer
    x = 700.78

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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.