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Finding the Fourth Proportional to 837.06, 1,255.77 and 349.83

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Solution

The fourth proportional to 837.06, 1,255.77 and 349.83 is: 524.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.06 : 1,255.77 = 349.83 : x
  2. Step 2: Convert to fraction form
    837.06/1,255.77 = 349.83/x
  3. Step 3: Cross multiply
    837.06x = 1,255.77 × 349.83
  4. Step 4: Simplify right side
    837.06x = 439,306.02
  5. Step 5: Solve for x
    x = 439,306.02/837.06
  6. Step 6: Final answer
    x = 524.82

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