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Finding the Fourth Proportional to 871.89, 1,308.14 and 742.87

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Solution

The fourth proportional to 871.89, 1,308.14 and 742.87 is: 1,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.89 : 1,308.14 = 742.87 : x
  2. Step 2: Convert to fraction form
    871.89/1,308.14 = 742.87/x
  3. Step 3: Cross multiply
    871.89x = 1,308.14 × 742.87
  4. Step 4: Simplify right side
    871.89x = 971,777.96
  5. Step 5: Solve for x
    x = 971,777.96/871.89
  6. Step 6: Final answer
    x = 1,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.