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Finding the Fourth Proportional to 871.48, 1,306.83 and 409.39

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Solution

The fourth proportional to 871.48, 1,306.83 and 409.39 is: 613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.48 : 1,306.83 = 409.39 : x
  2. Step 2: Convert to fraction form
    871.48/1,306.83 = 409.39/x
  3. Step 3: Cross multiply
    871.48x = 1,306.83 × 409.39
  4. Step 4: Simplify right side
    871.48x = 534,999.87
  5. Step 5: Solve for x
    x = 534,999.87/871.48
  6. Step 6: Final answer
    x = 613.90

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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.