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Finding the Fourth Proportional to 866.85, 1,196.27 and 473.90

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Solution

The fourth proportional to 866.85, 1,196.27 and 473.90 is: 653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.85 : 1,196.27 = 473.90 : x
  2. Step 2: Convert to fraction form
    866.85/1,196.27 = 473.90/x
  3. Step 3: Cross multiply
    866.85x = 1,196.27 × 473.90
  4. Step 4: Simplify right side
    866.85x = 566,912.35
  5. Step 5: Solve for x
    x = 566,912.35/866.85
  6. Step 6: Final answer
    x = 653.99

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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.