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Finding the Fourth Proportional to 1,266.17, 1,747.01 and 742.01

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Solution

The fourth proportional to 1,266.17, 1,747.01 and 742.01 is: 1,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.17 : 1,747.01 = 742.01 : x
  2. Step 2: Convert to fraction form
    1,266.17/1,747.01 = 742.01/x
  3. Step 3: Cross multiply
    1,266.17x = 1,747.01 × 742.01
  4. Step 4: Simplify right side
    1,266.17x = 1,296,292.01
  5. Step 5: Solve for x
    x = 1,296,292.01/1,266.17
  6. Step 6: Final answer
    x = 1,023.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.