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Finding the Fourth Proportional to 872.65, 1,205.24 and 579.23

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Solution

The fourth proportional to 872.65, 1,205.24 and 579.23 is: 799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.65 : 1,205.24 = 579.23 : x
  2. Step 2: Convert to fraction form
    872.65/1,205.24 = 579.23/x
  3. Step 3: Cross multiply
    872.65x = 1,205.24 × 579.23
  4. Step 4: Simplify right side
    872.65x = 698,111.17
  5. Step 5: Solve for x
    x = 698,111.17/872.65
  6. Step 6: Final answer
    x = 799.99

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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.