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Finding the Fourth Proportional to 901.08, 1,243.81 and 542.45

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Solution

The fourth proportional to 901.08, 1,243.81 and 542.45 is: 748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.08 : 1,243.81 = 542.45 : x
  2. Step 2: Convert to fraction form
    901.08/1,243.81 = 542.45/x
  3. Step 3: Cross multiply
    901.08x = 1,243.81 × 542.45
  4. Step 4: Simplify right side
    901.08x = 674,704.73
  5. Step 5: Solve for x
    x = 674,704.73/901.08
  6. Step 6: Final answer
    x = 748.77

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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.