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Finding the Fourth Proportional to 963.23, 1,444.82 and 415.06

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Solution

The fourth proportional to 963.23, 1,444.82 and 415.06 is: 622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.23 : 1,444.82 = 415.06 : x
  2. Step 2: Convert to fraction form
    963.23/1,444.82 = 415.06/x
  3. Step 3: Cross multiply
    963.23x = 1,444.82 × 415.06
  4. Step 4: Simplify right side
    963.23x = 599,677.69
  5. Step 5: Solve for x
    x = 599,677.69/963.23
  6. Step 6: Final answer
    x = 622.57

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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.