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Finding the Fourth Proportional to 849.76, 1,273.96 and 438.96

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Solution

The fourth proportional to 849.76, 1,273.96 and 438.96 is: 658.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.76 : 1,273.96 = 438.96 : x
  2. Step 2: Convert to fraction form
    849.76/1,273.96 = 438.96/x
  3. Step 3: Cross multiply
    849.76x = 1,273.96 × 438.96
  4. Step 4: Simplify right side
    849.76x = 559,217.48
  5. Step 5: Solve for x
    x = 559,217.48/849.76
  6. Step 6: Final answer
    x = 658.09

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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.