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Finding the Fourth Proportional to 865.18, 1,194.20 and 821.08

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Solution

The fourth proportional to 865.18, 1,194.20 and 821.08 is: 1,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.18 : 1,194.20 = 821.08 : x
  2. Step 2: Convert to fraction form
    865.18/1,194.20 = 821.08/x
  3. Step 3: Cross multiply
    865.18x = 1,194.20 × 821.08
  4. Step 4: Simplify right side
    865.18x = 980,529.63
  5. Step 5: Solve for x
    x = 980,529.63/865.18
  6. Step 6: Final answer
    x = 1,133.33

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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.