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Finding the Fourth Proportional to 901.73, 1,244.36 and 523.67

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Solution

The fourth proportional to 901.73, 1,244.36 and 523.67 is: 722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.73 : 1,244.36 = 523.67 : x
  2. Step 2: Convert to fraction form
    901.73/1,244.36 = 523.67/x
  3. Step 3: Cross multiply
    901.73x = 1,244.36 × 523.67
  4. Step 4: Simplify right side
    901.73x = 651,629.09
  5. Step 5: Solve for x
    x = 651,629.09/901.73
  6. Step 6: Final answer
    x = 722.64

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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.