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Finding the Fourth Proportional to 934.91, 1,290.03 and 541.86

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Solution

The fourth proportional to 934.91, 1,290.03 and 541.86 is: 747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.91 : 1,290.03 = 541.86 : x
  2. Step 2: Convert to fraction form
    934.91/1,290.03 = 541.86/x
  3. Step 3: Cross multiply
    934.91x = 1,290.03 × 541.86
  4. Step 4: Simplify right side
    934.91x = 699,015.66
  5. Step 5: Solve for x
    x = 699,015.66/934.91
  6. Step 6: Final answer
    x = 747.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.