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Finding the Fourth Proportional to 1,266.56, 1,900.08 and 433.40

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Solution

The fourth proportional to 1,266.56, 1,900.08 and 433.40 is: 650.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.56 : 1,900.08 = 433.40 : x
  2. Step 2: Convert to fraction form
    1,266.56/1,900.08 = 433.40/x
  3. Step 3: Cross multiply
    1,266.56x = 1,900.08 × 433.40
  4. Step 4: Simplify right side
    1,266.56x = 823,494.67
  5. Step 5: Solve for x
    x = 823,494.67/1,266.56
  6. Step 6: Final answer
    x = 650.18

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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.