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Finding the Fourth Proportional to 962.75, 1,444.62 and 414.79

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Solution

The fourth proportional to 962.75, 1,444.62 and 414.79 is: 622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.75 : 1,444.62 = 414.79 : x
  2. Step 2: Convert to fraction form
    962.75/1,444.62 = 414.79/x
  3. Step 3: Cross multiply
    962.75x = 1,444.62 × 414.79
  4. Step 4: Simplify right side
    962.75x = 599,213.93
  5. Step 5: Solve for x
    x = 599,213.93/962.75
  6. Step 6: Final answer
    x = 622.40

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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.