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Finding the Fourth Proportional to 967.82, 1,337.09 and 960.53

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Solution

The fourth proportional to 967.82, 1,337.09 and 960.53 is: 1,327.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.82 : 1,337.09 = 960.53 : x
  2. Step 2: Convert to fraction form
    967.82/1,337.09 = 960.53/x
  3. Step 3: Cross multiply
    967.82x = 1,337.09 × 960.53
  4. Step 4: Simplify right side
    967.82x = 1,284,303.57
  5. Step 5: Solve for x
    x = 1,284,303.57/967.82
  6. Step 6: Final answer
    x = 1,327.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.