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Finding the Fourth Proportional to 865.15, 1,193.56 and 486.95

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Solution

The fourth proportional to 865.15, 1,193.56 and 486.95 is: 671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.15 : 1,193.56 = 486.95 : x
  2. Step 2: Convert to fraction form
    865.15/1,193.56 = 486.95/x
  3. Step 3: Cross multiply
    865.15x = 1,193.56 × 486.95
  4. Step 4: Simplify right side
    865.15x = 581,204.04
  5. Step 5: Solve for x
    x = 581,204.04/865.15
  6. Step 6: Final answer
    x = 671.80

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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.