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Finding the Fourth Proportional to 849.63, 1,274.37 and 264.61

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Solution

The fourth proportional to 849.63, 1,274.37 and 264.61 is: 396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.63 : 1,274.37 = 264.61 : x
  2. Step 2: Convert to fraction form
    849.63/1,274.37 = 264.61/x
  3. Step 3: Cross multiply
    849.63x = 1,274.37 × 264.61
  4. Step 4: Simplify right side
    849.63x = 337,211.05
  5. Step 5: Solve for x
    x = 337,211.05/849.63
  6. Step 6: Final answer
    x = 396.89

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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.