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Finding the Fourth Proportional to 865.04, 1,193.78 and 491.95

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Solution

The fourth proportional to 865.04, 1,193.78 and 491.95 is: 678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.04 : 1,193.78 = 491.95 : x
  2. Step 2: Convert to fraction form
    865.04/1,193.78 = 491.95/x
  3. Step 3: Cross multiply
    865.04x = 1,193.78 × 491.95
  4. Step 4: Simplify right side
    865.04x = 587,275.55
  5. Step 5: Solve for x
    x = 587,275.55/865.04
  6. Step 6: Final answer
    x = 678.90

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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.