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Finding the Fourth Proportional to 1,275.02, 1,912.17 and 659.42

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Solution

The fourth proportional to 1,275.02, 1,912.17 and 659.42 is: 988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.02 : 1,912.17 = 659.42 : x
  2. Step 2: Convert to fraction form
    1,275.02/1,912.17 = 659.42/x
  3. Step 3: Cross multiply
    1,275.02x = 1,912.17 × 659.42
  4. Step 4: Simplify right side
    1,275.02x = 1,260,923.14
  5. Step 5: Solve for x
    x = 1,260,923.14/1,275.02
  6. Step 6: Final answer
    x = 988.94

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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.