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Finding the Fourth Proportional to 871.92, 1,203.34 and 498.94

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Solution

The fourth proportional to 871.92, 1,203.34 and 498.94 is: 688.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.92 : 1,203.34 = 498.94 : x
  2. Step 2: Convert to fraction form
    871.92/1,203.34 = 498.94/x
  3. Step 3: Cross multiply
    871.92x = 1,203.34 × 498.94
  4. Step 4: Simplify right side
    871.92x = 600,394.46
  5. Step 5: Solve for x
    x = 600,394.46/871.92
  6. Step 6: Final answer
    x = 688.59

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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.