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Finding the Fourth Proportional to 901.62, 1,244.04 and 518.26

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Solution

The fourth proportional to 901.62, 1,244.04 and 518.26 is: 715.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.62 : 1,244.04 = 518.26 : x
  2. Step 2: Convert to fraction form
    901.62/1,244.04 = 518.26/x
  3. Step 3: Cross multiply
    901.62x = 1,244.04 × 518.26
  4. Step 4: Simplify right side
    901.62x = 644,736.17
  5. Step 5: Solve for x
    x = 644,736.17/901.62
  6. Step 6: Final answer
    x = 715.09

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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.