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Finding the Fourth Proportional to 767.40, 1,150.79 and 305.12

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Solution

The fourth proportional to 767.40, 1,150.79 and 305.12 is: 457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.40 : 1,150.79 = 305.12 : x
  2. Step 2: Convert to fraction form
    767.40/1,150.79 = 305.12/x
  3. Step 3: Cross multiply
    767.40x = 1,150.79 × 305.12
  4. Step 4: Simplify right side
    767.40x = 351,121.77
  5. Step 5: Solve for x
    x = 351,121.77/767.40
  6. Step 6: Final answer
    x = 457.55

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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.