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Finding the Fourth Proportional to 872.65, 1,308.04 and 461.37

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Solution

The fourth proportional to 872.65, 1,308.04 and 461.37 is: 691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.65 : 1,308.04 = 461.37 : x
  2. Step 2: Convert to fraction form
    872.65/1,308.04 = 461.37/x
  3. Step 3: Cross multiply
    872.65x = 1,308.04 × 461.37
  4. Step 4: Simplify right side
    872.65x = 603,490.41
  5. Step 5: Solve for x
    x = 603,490.41/872.65
  6. Step 6: Final answer
    x = 691.56

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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.