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Finding the Fourth Proportional to 963.50, 1,446.26 and 690.12

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Solution

The fourth proportional to 963.50, 1,446.26 and 690.12 is: 1,035.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.50 : 1,446.26 = 690.12 : x
  2. Step 2: Convert to fraction form
    963.50/1,446.26 = 690.12/x
  3. Step 3: Cross multiply
    963.50x = 1,446.26 × 690.12
  4. Step 4: Simplify right side
    963.50x = 998,089.50
  5. Step 5: Solve for x
    x = 998,089.50/963.50
  6. Step 6: Final answer
    x = 1,035.91

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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.