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Finding the Fourth Proportional to 886.75, 1,330.14 and 399.47

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Solution

The fourth proportional to 886.75, 1,330.14 and 399.47 is: 599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.75 : 1,330.14 = 399.47 : x
  2. Step 2: Convert to fraction form
    886.75/1,330.14 = 399.47/x
  3. Step 3: Cross multiply
    886.75x = 1,330.14 × 399.47
  4. Step 4: Simplify right side
    886.75x = 531,351.03
  5. Step 5: Solve for x
    x = 531,351.03/886.75
  6. Step 6: Final answer
    x = 599.21

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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.