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Finding the Fourth Proportional to 861.49, 1,188.42 and 581.73

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Solution

The fourth proportional to 861.49, 1,188.42 and 581.73 is: 802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.49 : 1,188.42 = 581.73 : x
  2. Step 2: Convert to fraction form
    861.49/1,188.42 = 581.73/x
  3. Step 3: Cross multiply
    861.49x = 1,188.42 × 581.73
  4. Step 4: Simplify right side
    861.49x = 691,342.89
  5. Step 5: Solve for x
    x = 691,342.89/861.49
  6. Step 6: Final answer
    x = 802.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.