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Finding the Fourth Proportional to 1,486.14, 2,229.75 and 620.52

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Solution

The fourth proportional to 1,486.14, 2,229.75 and 620.52 is: 931.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.14 : 2,229.75 = 620.52 : x
  2. Step 2: Convert to fraction form
    1,486.14/2,229.75 = 620.52/x
  3. Step 3: Cross multiply
    1,486.14x = 2,229.75 × 620.52
  4. Step 4: Simplify right side
    1,486.14x = 1,383,604.47
  5. Step 5: Solve for x
    x = 1,383,604.47/1,486.14
  6. Step 6: Final answer
    x = 931.01

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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.