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Finding the Fourth Proportional to 1,266.81, 1,900.23 and 401.13

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Solution

The fourth proportional to 1,266.81, 1,900.23 and 401.13 is: 601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.81 : 1,900.23 = 401.13 : x
  2. Step 2: Convert to fraction form
    1,266.81/1,900.23 = 401.13/x
  3. Step 3: Cross multiply
    1,266.81x = 1,900.23 × 401.13
  4. Step 4: Simplify right side
    1,266.81x = 762,239.26
  5. Step 5: Solve for x
    x = 762,239.26/1,266.81
  6. Step 6: Final answer
    x = 601.70

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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.