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Finding the Fourth Proportional to 761.86, 1,142.81 and 396.45

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Solution

The fourth proportional to 761.86, 1,142.81 and 396.45 is: 594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.86 : 1,142.81 = 396.45 : x
  2. Step 2: Convert to fraction form
    761.86/1,142.81 = 396.45/x
  3. Step 3: Cross multiply
    761.86x = 1,142.81 × 396.45
  4. Step 4: Simplify right side
    761.86x = 453,067.02
  5. Step 5: Solve for x
    x = 453,067.02/761.86
  6. Step 6: Final answer
    x = 594.69

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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.