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Finding the Fourth Proportional to 960.77, 1,441.20 and 344.77

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Solution

The fourth proportional to 960.77, 1,441.20 and 344.77 is: 517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.77 : 1,441.20 = 344.77 : x
  2. Step 2: Convert to fraction form
    960.77/1,441.20 = 344.77/x
  3. Step 3: Cross multiply
    960.77x = 1,441.20 × 344.77
  4. Step 4: Simplify right side
    960.77x = 496,882.52
  5. Step 5: Solve for x
    x = 496,882.52/960.77
  6. Step 6: Final answer
    x = 517.17

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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.