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Finding the Fourth Proportional to 871.75, 1,203.08 and 576.50

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Solution

The fourth proportional to 871.75, 1,203.08 and 576.50 is: 795.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.75 : 1,203.08 = 576.50 : x
  2. Step 2: Convert to fraction form
    871.75/1,203.08 = 576.50/x
  3. Step 3: Cross multiply
    871.75x = 1,203.08 × 576.50
  4. Step 4: Simplify right side
    871.75x = 693,575.62
  5. Step 5: Solve for x
    x = 693,575.62/871.75
  6. Step 6: Final answer
    x = 795.61

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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.