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Finding the Fourth Proportional to 963.66, 1,441.94 and 835.16

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Solution

The fourth proportional to 963.66, 1,441.94 and 835.16 is: 1,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.66 : 1,441.94 = 835.16 : x
  2. Step 2: Convert to fraction form
    963.66/1,441.94 = 835.16/x
  3. Step 3: Cross multiply
    963.66x = 1,441.94 × 835.16
  4. Step 4: Simplify right side
    963.66x = 1,204,250.61
  5. Step 5: Solve for x
    x = 1,204,250.61/963.66
  6. Step 6: Final answer
    x = 1,249.66

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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.