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Finding the Fourth Proportional to 865.87, 1,194.91 and 472.90

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Solution

The fourth proportional to 865.87, 1,194.91 and 472.90 is: 652.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.87 : 1,194.91 = 472.90 : x
  2. Step 2: Convert to fraction form
    865.87/1,194.91 = 472.90/x
  3. Step 3: Cross multiply
    865.87x = 1,194.91 × 472.90
  4. Step 4: Simplify right side
    865.87x = 565,072.94
  5. Step 5: Solve for x
    x = 565,072.94/865.87
  6. Step 6: Final answer
    x = 652.61

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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.