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Finding the Fourth Proportional to 881.67, 1,321.49 and 491.58

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Solution

The fourth proportional to 881.67, 1,321.49 and 491.58 is: 736.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.67 : 1,321.49 = 491.58 : x
  2. Step 2: Convert to fraction form
    881.67/1,321.49 = 491.58/x
  3. Step 3: Cross multiply
    881.67x = 1,321.49 × 491.58
  4. Step 4: Simplify right side
    881.67x = 649,615.60
  5. Step 5: Solve for x
    x = 649,615.60/881.67
  6. Step 6: Final answer
    x = 736.80

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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.