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Finding the Fourth Proportional to 960.95, 1,441.38 and 412.73

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Solution

The fourth proportional to 960.95, 1,441.38 and 412.73 is: 619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.95 : 1,441.38 = 412.73 : x
  2. Step 2: Convert to fraction form
    960.95/1,441.38 = 412.73/x
  3. Step 3: Cross multiply
    960.95x = 1,441.38 × 412.73
  4. Step 4: Simplify right side
    960.95x = 594,900.77
  5. Step 5: Solve for x
    x = 594,900.77/960.95
  6. Step 6: Final answer
    x = 619.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.