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Finding the Fourth Proportional to 1,705.20, 2,557.81 and 550.95

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Solution

The fourth proportional to 1,705.20, 2,557.81 and 550.95 is: 826.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.20 : 2,557.81 = 550.95 : x
  2. Step 2: Convert to fraction form
    1,705.20/2,557.81 = 550.95/x
  3. Step 3: Cross multiply
    1,705.20x = 2,557.81 × 550.95
  4. Step 4: Simplify right side
    1,705.20x = 1,409,209.88
  5. Step 5: Solve for x
    x = 1,409,209.88/1,705.20
  6. Step 6: Final answer
    x = 826.42

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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.