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Finding the Fourth Proportional to 1,266.89, 1,900.13 and 342.24

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Solution

The fourth proportional to 1,266.89, 1,900.13 and 342.24 is: 513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.89 : 1,900.13 = 342.24 : x
  2. Step 2: Convert to fraction form
    1,266.89/1,900.13 = 342.24/x
  3. Step 3: Cross multiply
    1,266.89x = 1,900.13 × 342.24
  4. Step 4: Simplify right side
    1,266.89x = 650,298.78
  5. Step 5: Solve for x
    x = 650,298.78/1,266.89
  6. Step 6: Final answer
    x = 513.31

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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.