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Finding the Fourth Proportional to 872.82, 1,205.01 and 523.62

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Solution

The fourth proportional to 872.82, 1,205.01 and 523.62 is: 722.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.82 : 1,205.01 = 523.62 : x
  2. Step 2: Convert to fraction form
    872.82/1,205.01 = 523.62/x
  3. Step 3: Cross multiply
    872.82x = 1,205.01 × 523.62
  4. Step 4: Simplify right side
    872.82x = 630,967.34
  5. Step 5: Solve for x
    x = 630,967.34/872.82
  6. Step 6: Final answer
    x = 722.91

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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.