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Finding the Fourth Proportional to 1,266.98, 1,900.40 and 574.43

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Solution

The fourth proportional to 1,266.98, 1,900.40 and 574.43 is: 861.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.98 : 1,900.40 = 574.43 : x
  2. Step 2: Convert to fraction form
    1,266.98/1,900.40 = 574.43/x
  3. Step 3: Cross multiply
    1,266.98x = 1,900.40 × 574.43
  4. Step 4: Simplify right side
    1,266.98x = 1,091,634.40
  5. Step 5: Solve for x
    x = 1,091,634.40/1,266.98
  6. Step 6: Final answer
    x = 861.61

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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.