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Finding the Fourth Proportional to 906.03, 1,360.44 and 542.43

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Solution

The fourth proportional to 906.03, 1,360.44 and 542.43 is: 814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.03 : 1,360.44 = 542.43 : x
  2. Step 2: Convert to fraction form
    906.03/1,360.44 = 542.43/x
  3. Step 3: Cross multiply
    906.03x = 1,360.44 × 542.43
  4. Step 4: Simplify right side
    906.03x = 737,943.47
  5. Step 5: Solve for x
    x = 737,943.47/906.03
  6. Step 6: Final answer
    x = 814.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.