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Finding the Fourth Proportional to 865.47, 1,194.35 and 472.49

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Solution

The fourth proportional to 865.47, 1,194.35 and 472.49 is: 652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.47 : 1,194.35 = 472.49 : x
  2. Step 2: Convert to fraction form
    865.47/1,194.35 = 472.49/x
  3. Step 3: Cross multiply
    865.47x = 1,194.35 × 472.49
  4. Step 4: Simplify right side
    865.47x = 564,310.10
  5. Step 5: Solve for x
    x = 564,310.10/865.47
  6. Step 6: Final answer
    x = 652.03

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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.