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Finding the Fourth Proportional to 871.75, 1,307.02 and 409.44

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Solution

The fourth proportional to 871.75, 1,307.02 and 409.44 is: 613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.75 : 1,307.02 = 409.44 : x
  2. Step 2: Convert to fraction form
    871.75/1,307.02 = 409.44/x
  3. Step 3: Cross multiply
    871.75x = 1,307.02 × 409.44
  4. Step 4: Simplify right side
    871.75x = 535,146.27
  5. Step 5: Solve for x
    x = 535,146.27/871.75
  6. Step 6: Final answer
    x = 613.88

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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.