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Finding the Fourth Proportional to 761.18, 1,140.86 and 395.78

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Solution

The fourth proportional to 761.18, 1,140.86 and 395.78 is: 593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.18 : 1,140.86 = 395.78 : x
  2. Step 2: Convert to fraction form
    761.18/1,140.86 = 395.78/x
  3. Step 3: Cross multiply
    761.18x = 1,140.86 × 395.78
  4. Step 4: Simplify right side
    761.18x = 451,529.57
  5. Step 5: Solve for x
    x = 451,529.57/761.18
  6. Step 6: Final answer
    x = 593.20

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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.