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Finding the Fourth Proportional to 761.75, 1,142.82 and 274.80

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Solution

The fourth proportional to 761.75, 1,142.82 and 274.80 is: 412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.75 : 1,142.82 = 274.80 : x
  2. Step 2: Convert to fraction form
    761.75/1,142.82 = 274.80/x
  3. Step 3: Cross multiply
    761.75x = 1,142.82 × 274.80
  4. Step 4: Simplify right side
    761.75x = 314,046.94
  5. Step 5: Solve for x
    x = 314,046.94/761.75
  6. Step 6: Final answer
    x = 412.27

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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.