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Finding the Fourth Proportional to 901.52, 1,243.92 and 528.38

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Solution

The fourth proportional to 901.52, 1,243.92 and 528.38 is: 729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.52 : 1,243.92 = 528.38 : x
  2. Step 2: Convert to fraction form
    901.52/1,243.92 = 528.38/x
  3. Step 3: Cross multiply
    901.52x = 1,243.92 × 528.38
  4. Step 4: Simplify right side
    901.52x = 657,262.45
  5. Step 5: Solve for x
    x = 657,262.45/901.52
  6. Step 6: Final answer
    x = 729.06

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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.