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Finding the Fourth Proportional to 963.76, 1,445.62 and 279.76

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Solution

The fourth proportional to 963.76, 1,445.62 and 279.76 is: 419.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.76 : 1,445.62 = 279.76 : x
  2. Step 2: Convert to fraction form
    963.76/1,445.62 = 279.76/x
  3. Step 3: Cross multiply
    963.76x = 1,445.62 × 279.76
  4. Step 4: Simplify right side
    963.76x = 404,426.65
  5. Step 5: Solve for x
    x = 404,426.65/963.76
  6. Step 6: Final answer
    x = 419.63

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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.