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Finding the Fourth Proportional to 960.65, 1,440.83 and 267.24

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Solution

The fourth proportional to 960.65, 1,440.83 and 267.24 is: 400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.65 : 1,440.83 = 267.24 : x
  2. Step 2: Convert to fraction form
    960.65/1,440.83 = 267.24/x
  3. Step 3: Cross multiply
    960.65x = 1,440.83 × 267.24
  4. Step 4: Simplify right side
    960.65x = 385,051.48
  5. Step 5: Solve for x
    x = 385,051.48/960.65
  6. Step 6: Final answer
    x = 400.82

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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.