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Finding the Fourth Proportional to 866.57, 1,195.89 and 473.61

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Solution

The fourth proportional to 866.57, 1,195.89 and 473.61 is: 653.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.57 : 1,195.89 = 473.61 : x
  2. Step 2: Convert to fraction form
    866.57/1,195.89 = 473.61/x
  3. Step 3: Cross multiply
    866.57x = 1,195.89 × 473.61
  4. Step 4: Simplify right side
    866.57x = 566,383.09
  5. Step 5: Solve for x
    x = 566,383.09/866.57
  6. Step 6: Final answer
    x = 653.60

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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.