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Finding the Fourth Proportional to 961.35, 1,431.89 and 956.90

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Solution

The fourth proportional to 961.35, 1,431.89 and 956.90 is: 1,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.35 : 1,431.89 = 956.90 : x
  2. Step 2: Convert to fraction form
    961.35/1,431.89 = 956.90/x
  3. Step 3: Cross multiply
    961.35x = 1,431.89 × 956.90
  4. Step 4: Simplify right side
    961.35x = 1,370,163.60
  5. Step 5: Solve for x
    x = 1,370,163.60/961.35
  6. Step 6: Final answer
    x = 1,425.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.