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Finding the Fourth Proportional to 901.20, 1,243.59 and 528.12

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Solution

The fourth proportional to 901.20, 1,243.59 and 528.12 is: 728.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.20 : 1,243.59 = 528.12 : x
  2. Step 2: Convert to fraction form
    901.20/1,243.59 = 528.12/x
  3. Step 3: Cross multiply
    901.20x = 1,243.59 × 528.12
  4. Step 4: Simplify right side
    901.20x = 656,764.75
  5. Step 5: Solve for x
    x = 656,764.75/901.20
  6. Step 6: Final answer
    x = 728.77

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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.