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Finding the Fourth Proportional to 865.32, 1,194.69 and 571.10

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Solution

The fourth proportional to 865.32, 1,194.69 and 571.10 is: 788.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.32 : 1,194.69 = 571.10 : x
  2. Step 2: Convert to fraction form
    865.32/1,194.69 = 571.10/x
  3. Step 3: Cross multiply
    865.32x = 1,194.69 × 571.10
  4. Step 4: Simplify right side
    865.32x = 682,281.49
  5. Step 5: Solve for x
    x = 682,281.49/865.32
  6. Step 6: Final answer
    x = 788.47

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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.