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Finding the Fourth Proportional to 761.62, 1,141.26 and 395.86

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Solution

The fourth proportional to 761.62, 1,141.26 and 395.86 is: 593.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.62 : 1,141.26 = 395.86 : x
  2. Step 2: Convert to fraction form
    761.62/1,141.26 = 395.86/x
  3. Step 3: Cross multiply
    761.62x = 1,141.26 × 395.86
  4. Step 4: Simplify right side
    761.62x = 451,779.18
  5. Step 5: Solve for x
    x = 451,779.18/761.62
  6. Step 6: Final answer
    x = 593.18

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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.