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Finding the Fourth Proportional to 772.67, 1,159.41 and 310.56

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Solution

The fourth proportional to 772.67, 1,159.41 and 310.56 is: 466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.67 : 1,159.41 = 310.56 : x
  2. Step 2: Convert to fraction form
    772.67/1,159.41 = 310.56/x
  3. Step 3: Cross multiply
    772.67x = 1,159.41 × 310.56
  4. Step 4: Simplify right side
    772.67x = 360,066.37
  5. Step 5: Solve for x
    x = 360,066.37/772.67
  6. Step 6: Final answer
    x = 466.01

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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.