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Finding the Fourth Proportional to 772.74, 1,159.34 and 362.11

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Solution

The fourth proportional to 772.74, 1,159.34 and 362.11 is: 543.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.74 : 1,159.34 = 362.11 : x
  2. Step 2: Convert to fraction form
    772.74/1,159.34 = 362.11/x
  3. Step 3: Cross multiply
    772.74x = 1,159.34 × 362.11
  4. Step 4: Simplify right side
    772.74x = 419,808.61
  5. Step 5: Solve for x
    x = 419,808.61/772.74
  6. Step 6: Final answer
    x = 543.27

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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.