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Finding the Fourth Proportional to 1,375.44, 2,062.57 and 438.17

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Solution

The fourth proportional to 1,375.44, 2,062.57 and 438.17 is: 657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.44 : 2,062.57 = 438.17 : x
  2. Step 2: Convert to fraction form
    1,375.44/2,062.57 = 438.17/x
  3. Step 3: Cross multiply
    1,375.44x = 2,062.57 × 438.17
  4. Step 4: Simplify right side
    1,375.44x = 903,756.30
  5. Step 5: Solve for x
    x = 903,756.30/1,375.44
  6. Step 6: Final answer
    x = 657.07

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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.