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Finding the Fourth Proportional to 901.11, 1,243.56 and 522.97

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Solution

The fourth proportional to 901.11, 1,243.56 and 522.97 is: 721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.11 : 1,243.56 = 522.97 : x
  2. Step 2: Convert to fraction form
    901.11/1,243.56 = 522.97/x
  3. Step 3: Cross multiply
    901.11x = 1,243.56 × 522.97
  4. Step 4: Simplify right side
    901.11x = 650,343.09
  5. Step 5: Solve for x
    x = 650,343.09/901.11
  6. Step 6: Final answer
    x = 721.72

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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.