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Finding the Fourth Proportional to 963.82, 1,445.76 and 415.65

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Solution

The fourth proportional to 963.82, 1,445.76 and 415.65 is: 623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.82 : 1,445.76 = 415.65 : x
  2. Step 2: Convert to fraction form
    963.82/1,445.76 = 415.65/x
  3. Step 3: Cross multiply
    963.82x = 1,445.76 × 415.65
  4. Step 4: Simplify right side
    963.82x = 600,930.14
  5. Step 5: Solve for x
    x = 600,930.14/963.82
  6. Step 6: Final answer
    x = 623.49

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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.