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Finding the Fourth Proportional to 866.96, 1,196.42 and 474

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Solution

The fourth proportional to 866.96, 1,196.42 and 474 is: 654.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.96 : 1,196.42 = 474 : x
  2. Step 2: Convert to fraction form
    866.96/1,196.42 = 474/x
  3. Step 3: Cross multiply
    866.96x = 1,196.42 × 474
  4. Step 4: Simplify right side
    866.96x = 567,100.71
  5. Step 5: Solve for x
    x = 567,100.71/866.96
  6. Step 6: Final answer
    x = 654.13

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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.