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Finding the Fourth Proportional to 1,330.24, 1,996.80 and 965.20

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Solution

The fourth proportional to 1,330.24, 1,996.80 and 965.20 is: 1,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.24 : 1,996.80 = 965.20 : x
  2. Step 2: Convert to fraction form
    1,330.24/1,996.80 = 965.20/x
  3. Step 3: Cross multiply
    1,330.24x = 1,996.80 × 965.20
  4. Step 4: Simplify right side
    1,330.24x = 1,927,311.36
  5. Step 5: Solve for x
    x = 1,927,311.36/1,330.24
  6. Step 6: Final answer
    x = 1,448.84

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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.