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Finding the Fourth Proportional to 866.23, 1,195.57 and 604.10

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Solution

The fourth proportional to 866.23, 1,195.57 and 604.10 is: 833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.23 : 1,195.57 = 604.10 : x
  2. Step 2: Convert to fraction form
    866.23/1,195.57 = 604.10/x
  3. Step 3: Cross multiply
    866.23x = 1,195.57 × 604.10
  4. Step 4: Simplify right side
    866.23x = 722,243.84
  5. Step 5: Solve for x
    x = 722,243.84/866.23
  6. Step 6: Final answer
    x = 833.78

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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.