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Finding the Fourth Proportional to 866.23, 1,299.27 and 372.63

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Solution

The fourth proportional to 866.23, 1,299.27 and 372.63 is: 558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.23 : 1,299.27 = 372.63 : x
  2. Step 2: Convert to fraction form
    866.23/1,299.27 = 372.63/x
  3. Step 3: Cross multiply
    866.23x = 1,299.27 × 372.63
  4. Step 4: Simplify right side
    866.23x = 484,146.98
  5. Step 5: Solve for x
    x = 484,146.98/866.23
  6. Step 6: Final answer
    x = 558.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.