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Finding the Fourth Proportional to 934.86, 1,290.22 and 541.80

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Solution

The fourth proportional to 934.86, 1,290.22 and 541.80 is: 747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.86 : 1,290.22 = 541.80 : x
  2. Step 2: Convert to fraction form
    934.86/1,290.22 = 541.80/x
  3. Step 3: Cross multiply
    934.86x = 1,290.22 × 541.80
  4. Step 4: Simplify right side
    934.86x = 699,044.68
  5. Step 5: Solve for x
    x = 699,044.68/934.86
  6. Step 6: Final answer
    x = 747.76

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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.