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Finding the Fourth Proportional to 871.88, 1,307.27 and 409.75

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Solution

The fourth proportional to 871.88, 1,307.27 and 409.75 is: 614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.88 : 1,307.27 = 409.75 : x
  2. Step 2: Convert to fraction form
    871.88/1,307.27 = 409.75/x
  3. Step 3: Cross multiply
    871.88x = 1,307.27 × 409.75
  4. Step 4: Simplify right side
    871.88x = 535,651.64
  5. Step 5: Solve for x
    x = 535,651.64/871.88
  6. Step 6: Final answer
    x = 614.37

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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.