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Finding the Fourth Proportional to 960.26, 1,440.18 and 375.27

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Solution

The fourth proportional to 960.26, 1,440.18 and 375.27 is: 562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.26 : 1,440.18 = 375.27 : x
  2. Step 2: Convert to fraction form
    960.26/1,440.18 = 375.27/x
  3. Step 3: Cross multiply
    960.26x = 1,440.18 × 375.27
  4. Step 4: Simplify right side
    960.26x = 540,456.35
  5. Step 5: Solve for x
    x = 540,456.35/960.26
  6. Step 6: Final answer
    x = 562.83

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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.