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Finding the Fourth Proportional to 866.84, 1,196.16 and 493.72

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Solution

The fourth proportional to 866.84, 1,196.16 and 493.72 is: 681.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.84 : 1,196.16 = 493.72 : x
  2. Step 2: Convert to fraction form
    866.84/1,196.16 = 493.72/x
  3. Step 3: Cross multiply
    866.84x = 1,196.16 × 493.72
  4. Step 4: Simplify right side
    866.84x = 590,568.12
  5. Step 5: Solve for x
    x = 590,568.12/866.84
  6. Step 6: Final answer
    x = 681.29

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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.