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Finding the Fourth Proportional to 871.89, 1,203.36 and 517.83

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Solution

The fourth proportional to 871.89, 1,203.36 and 517.83 is: 714.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.89 : 1,203.36 = 517.83 : x
  2. Step 2: Convert to fraction form
    871.89/1,203.36 = 517.83/x
  3. Step 3: Cross multiply
    871.89x = 1,203.36 × 517.83
  4. Step 4: Simplify right side
    871.89x = 623,135.91
  5. Step 5: Solve for x
    x = 623,135.91/871.89
  6. Step 6: Final answer
    x = 714.70

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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.