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Finding the Fourth Proportional to 1,330.99, 1,997.88 and 638.25

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Solution

The fourth proportional to 1,330.99, 1,997.88 and 638.25 is: 958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.99 : 1,997.88 = 638.25 : x
  2. Step 2: Convert to fraction form
    1,330.99/1,997.88 = 638.25/x
  3. Step 3: Cross multiply
    1,330.99x = 1,997.88 × 638.25
  4. Step 4: Simplify right side
    1,330.99x = 1,275,136.92
  5. Step 5: Solve for x
    x = 1,275,136.92/1,330.99
  6. Step 6: Final answer
    x = 958.04

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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.