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Finding the Fourth Proportional to 865.79, 1,194.35 and 586.04

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Solution

The fourth proportional to 865.79, 1,194.35 and 586.04 is: 808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.79 : 1,194.35 = 586.04 : x
  2. Step 2: Convert to fraction form
    865.79/1,194.35 = 586.04/x
  3. Step 3: Cross multiply
    865.79x = 1,194.35 × 586.04
  4. Step 4: Simplify right side
    865.79x = 699,927.97
  5. Step 5: Solve for x
    x = 699,927.97/865.79
  6. Step 6: Final answer
    x = 808.43

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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.