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Finding the Fourth Proportional to 866.69, 1,195.99 and 493.62

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Solution

The fourth proportional to 866.69, 1,195.99 and 493.62 is: 681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.69 : 1,195.99 = 493.62 : x
  2. Step 2: Convert to fraction form
    866.69/1,195.99 = 493.62/x
  3. Step 3: Cross multiply
    866.69x = 1,195.99 × 493.62
  4. Step 4: Simplify right side
    866.69x = 590,364.58
  5. Step 5: Solve for x
    x = 590,364.58/866.69
  6. Step 6: Final answer
    x = 681.17

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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.