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Finding the Fourth Proportional to 839.26, 1,258.97 and 345.55

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Solution

The fourth proportional to 839.26, 1,258.97 and 345.55 is: 518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.26 : 1,258.97 = 345.55 : x
  2. Step 2: Convert to fraction form
    839.26/1,258.97 = 345.55/x
  3. Step 3: Cross multiply
    839.26x = 1,258.97 × 345.55
  4. Step 4: Simplify right side
    839.26x = 435,037.08
  5. Step 5: Solve for x
    x = 435,037.08/839.26
  6. Step 6: Final answer
    x = 518.36

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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.