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Finding the Fourth Proportional to 866, 1,195.10 and 493

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Solution

The fourth proportional to 866, 1,195.10 and 493 is: 680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    866 : 1,195.10 = 493 : x
  2. Step 2: Convert to fraction form
    866/1,195.10 = 493/x
  3. Step 3: Cross multiply
    866x = 1,195.10 × 493
  4. Step 4: Simplify right side
    866x = 589,184.30
  5. Step 5: Solve for x
    x = 589,184.30/866
  6. Step 6: Final answer
    x = 680.35

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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.