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Finding the Fourth Proportional to 1,266.53, 1,899.99 and 433.49

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Solution

The fourth proportional to 1,266.53, 1,899.99 and 433.49 is: 650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.53 : 1,899.99 = 433.49 : x
  2. Step 2: Convert to fraction form
    1,266.53/1,899.99 = 433.49/x
  3. Step 3: Cross multiply
    1,266.53x = 1,899.99 × 433.49
  4. Step 4: Simplify right side
    1,266.53x = 823,631.42
  5. Step 5: Solve for x
    x = 823,631.42/1,266.53
  6. Step 6: Final answer
    x = 650.31

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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.