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Finding the Fourth Proportional to 960.66, 1,440.99 and 412.83

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Solution

The fourth proportional to 960.66, 1,440.99 and 412.83 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.66 : 1,440.99 = 412.83 : x
  2. Step 2: Convert to fraction form
    960.66/1,440.99 = 412.83/x
  3. Step 3: Cross multiply
    960.66x = 1,440.99 × 412.83
  4. Step 4: Simplify right side
    960.66x = 594,883.90
  5. Step 5: Solve for x
    x = 594,883.90/960.66
  6. Step 6: Final answer
    x = 619.25

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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.