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Finding the Fourth Proportional to 865.10, 1,193.84 and 472.12

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Solution

The fourth proportional to 865.10, 1,193.84 and 472.12 is: 651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.10 : 1,193.84 = 472.12 : x
  2. Step 2: Convert to fraction form
    865.10/1,193.84 = 472.12/x
  3. Step 3: Cross multiply
    865.10x = 1,193.84 × 472.12
  4. Step 4: Simplify right side
    865.10x = 563,637.55
  5. Step 5: Solve for x
    x = 563,637.55/865.10
  6. Step 6: Final answer
    x = 651.53

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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.