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Finding the Fourth Proportional to 836.95, 1,255.71 and 259.82

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Solution

The fourth proportional to 836.95, 1,255.71 and 259.82 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.95 : 1,255.71 = 259.82 : x
  2. Step 2: Convert to fraction form
    836.95/1,255.71 = 259.82/x
  3. Step 3: Cross multiply
    836.95x = 1,255.71 × 259.82
  4. Step 4: Simplify right side
    836.95x = 326,258.57
  5. Step 5: Solve for x
    x = 326,258.57/836.95
  6. Step 6: Final answer
    x = 389.82

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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.