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Finding the Fourth Proportional to 871.74, 1,202.82 and 592.02

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Solution

The fourth proportional to 871.74, 1,202.82 and 592.02 is: 816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.74 : 1,202.82 = 592.02 : x
  2. Step 2: Convert to fraction form
    871.74/1,202.82 = 592.02/x
  3. Step 3: Cross multiply
    871.74x = 1,202.82 × 592.02
  4. Step 4: Simplify right side
    871.74x = 712,093.50
  5. Step 5: Solve for x
    x = 712,093.50/871.74
  6. Step 6: Final answer
    x = 816.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.