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Finding the Fourth Proportional to 871.11, 1,307.01 and 383.82

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Solution

The fourth proportional to 871.11, 1,307.01 and 383.82 is: 575.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.11 : 1,307.01 = 383.82 : x
  2. Step 2: Convert to fraction form
    871.11/1,307.01 = 383.82/x
  3. Step 3: Cross multiply
    871.11x = 1,307.01 × 383.82
  4. Step 4: Simplify right side
    871.11x = 501,651.39
  5. Step 5: Solve for x
    x = 501,651.39/871.11
  6. Step 6: Final answer
    x = 575.88

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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.