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Finding the Fourth Proportional to 960.03, 1,439.84 and 466.43

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Solution

The fourth proportional to 960.03, 1,439.84 and 466.43 is: 699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.03 : 1,439.84 = 466.43 : x
  2. Step 2: Convert to fraction form
    960.03/1,439.84 = 466.43/x
  3. Step 3: Cross multiply
    960.03x = 1,439.84 × 466.43
  4. Step 4: Simplify right side
    960.03x = 671,575.04
  5. Step 5: Solve for x
    x = 671,575.04/960.03
  6. Step 6: Final answer
    x = 699.54

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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.