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Finding the Fourth Proportional to 963.39, 1,443.12 and 499.77

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Solution

The fourth proportional to 963.39, 1,443.12 and 499.77 is: 748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.39 : 1,443.12 = 499.77 : x
  2. Step 2: Convert to fraction form
    963.39/1,443.12 = 499.77/x
  3. Step 3: Cross multiply
    963.39x = 1,443.12 × 499.77
  4. Step 4: Simplify right side
    963.39x = 721,226.21
  5. Step 5: Solve for x
    x = 721,226.21/963.39
  6. Step 6: Final answer
    x = 748.63

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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.