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Finding the Fourth Proportional to 901.92, 1,244.81 and 524.05

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Solution

The fourth proportional to 901.92, 1,244.81 and 524.05 is: 723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.92 : 1,244.81 = 524.05 : x
  2. Step 2: Convert to fraction form
    901.92/1,244.81 = 524.05/x
  3. Step 3: Cross multiply
    901.92x = 1,244.81 × 524.05
  4. Step 4: Simplify right side
    901.92x = 652,342.68
  5. Step 5: Solve for x
    x = 652,342.68/901.92
  6. Step 6: Final answer
    x = 723.28

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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.