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Finding the Fourth Proportional to 871.84, 1,306.83 and 385.23

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Solution

The fourth proportional to 871.84, 1,306.83 and 385.23 is: 577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.84 : 1,306.83 = 385.23 : x
  2. Step 2: Convert to fraction form
    871.84/1,306.83 = 385.23/x
  3. Step 3: Cross multiply
    871.84x = 1,306.83 × 385.23
  4. Step 4: Simplify right side
    871.84x = 503,430.12
  5. Step 5: Solve for x
    x = 503,430.12/871.84
  6. Step 6: Final answer
    x = 577.43

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