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Finding the Fourth Proportional to 773.64, 1,159.39 and 362.06

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Solution

The fourth proportional to 773.64, 1,159.39 and 362.06 is: 542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.64 : 1,159.39 = 362.06 : x
  2. Step 2: Convert to fraction form
    773.64/1,159.39 = 362.06/x
  3. Step 3: Cross multiply
    773.64x = 1,159.39 × 362.06
  4. Step 4: Simplify right side
    773.64x = 419,768.74
  5. Step 5: Solve for x
    x = 419,768.74/773.64
  6. Step 6: Final answer
    x = 542.59

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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.