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Finding the Fourth Proportional to 960.87, 1,441.35 and 412.68

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Solution

The fourth proportional to 960.87, 1,441.35 and 412.68 is: 619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.87 : 1,441.35 = 412.68 : x
  2. Step 2: Convert to fraction form
    960.87/1,441.35 = 412.68/x
  3. Step 3: Cross multiply
    960.87x = 1,441.35 × 412.68
  4. Step 4: Simplify right side
    960.87x = 594,816.32
  5. Step 5: Solve for x
    x = 594,816.32/960.87
  6. Step 6: Final answer
    x = 619.04

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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.