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Finding the Fourth Proportional to 866.96, 1,196.47 and 493.95

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Solution

The fourth proportional to 866.96, 1,196.47 and 493.95 is: 681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.96 : 1,196.47 = 493.95 : x
  2. Step 2: Convert to fraction form
    866.96/1,196.47 = 493.95/x
  3. Step 3: Cross multiply
    866.96x = 1,196.47 × 493.95
  4. Step 4: Simplify right side
    866.96x = 591,001.46
  5. Step 5: Solve for x
    x = 591,001.46/866.96
  6. Step 6: Final answer
    x = 681.70

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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.