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Finding the Fourth Proportional to 761.38, 1,142.67 and 396.27

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Solution

The fourth proportional to 761.38, 1,142.67 and 396.27 is: 594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.38 : 1,142.67 = 396.27 : x
  2. Step 2: Convert to fraction form
    761.38/1,142.67 = 396.27/x
  3. Step 3: Cross multiply
    761.38x = 1,142.67 × 396.27
  4. Step 4: Simplify right side
    761.38x = 452,805.84
  5. Step 5: Solve for x
    x = 452,805.84/761.38
  6. Step 6: Final answer
    x = 594.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.