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Finding the Fourth Proportional to 960.74, 1,440.25 and 466.84

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Solution

The fourth proportional to 960.74, 1,440.25 and 466.84 is: 699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.74 : 1,440.25 = 466.84 : x
  2. Step 2: Convert to fraction form
    960.74/1,440.25 = 466.84/x
  3. Step 3: Cross multiply
    960.74x = 1,440.25 × 466.84
  4. Step 4: Simplify right side
    960.74x = 672,366.94
  5. Step 5: Solve for x
    x = 672,366.94/960.74
  6. Step 6: Final answer
    x = 699.84

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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.