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Finding the Fourth Proportional to 967.80, 1,455 and 963

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Solution

The fourth proportional to 967.80, 1,455 and 963 is: 1,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.80 : 1,455 = 963 : x
  2. Step 2: Convert to fraction form
    967.80/1,455 = 963/x
  3. Step 3: Cross multiply
    967.80x = 1,455 × 963
  4. Step 4: Simplify right side
    967.80x = 1,401,165
  5. Step 5: Solve for x
    x = 1,401,165/967.80
  6. Step 6: Final answer
    x = 1,447.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.