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Finding the Fourth Proportional to 865.63, 1,194.57 and 472.66

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Solution

The fourth proportional to 865.63, 1,194.57 and 472.66 is: 652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.63 : 1,194.57 = 472.66 : x
  2. Step 2: Convert to fraction form
    865.63/1,194.57 = 472.66/x
  3. Step 3: Cross multiply
    865.63x = 1,194.57 × 472.66
  4. Step 4: Simplify right side
    865.63x = 564,621.29
  5. Step 5: Solve for x
    x = 564,621.29/865.63
  6. Step 6: Final answer
    x = 652.26

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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.