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Finding the Fourth Proportional to 1,705.06, 2,557.05 and 839.26

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Solution

The fourth proportional to 1,705.06, 2,557.05 and 839.26 is: 1,258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.06 : 2,557.05 = 839.26 : x
  2. Step 2: Convert to fraction form
    1,705.06/2,557.05 = 839.26/x
  3. Step 3: Cross multiply
    1,705.06x = 2,557.05 × 839.26
  4. Step 4: Simplify right side
    1,705.06x = 2,146,029.78
  5. Step 5: Solve for x
    x = 2,146,029.78/1,705.06
  6. Step 6: Final answer
    x = 1,258.62

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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.