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Finding the Fourth Proportional to 1,266.38, 1,900.41 and 487.02

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Solution

The fourth proportional to 1,266.38, 1,900.41 and 487.02 is: 730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.38 : 1,900.41 = 487.02 : x
  2. Step 2: Convert to fraction form
    1,266.38/1,900.41 = 487.02/x
  3. Step 3: Cross multiply
    1,266.38x = 1,900.41 × 487.02
  4. Step 4: Simplify right side
    1,266.38x = 925,537.68
  5. Step 5: Solve for x
    x = 925,537.68/1,266.38
  6. Step 6: Final answer
    x = 730.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.