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Finding the Fourth Proportional to 963.22, 1,444.62 and 415.12

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Solution

The fourth proportional to 963.22, 1,444.62 and 415.12 is: 622.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.22 : 1,444.62 = 415.12 : x
  2. Step 2: Convert to fraction form
    963.22/1,444.62 = 415.12/x
  3. Step 3: Cross multiply
    963.22x = 1,444.62 × 415.12
  4. Step 4: Simplify right side
    963.22x = 599,690.65
  5. Step 5: Solve for x
    x = 599,690.65/963.22
  6. Step 6: Final answer
    x = 622.59

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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.