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Finding the Fourth Proportional to 1,035.80, 1,554.55 and 1,027.70

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Solution

The fourth proportional to 1,035.80, 1,554.55 and 1,027.70 is: 1,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.80 : 1,554.55 = 1,027.70 : x
  2. Step 2: Convert to fraction form
    1,035.80/1,554.55 = 1,027.70/x
  3. Step 3: Cross multiply
    1,035.80x = 1,554.55 × 1,027.70
  4. Step 4: Simplify right side
    1,035.80x = 1,597,611.04
  5. Step 5: Solve for x
    x = 1,597,611.04/1,035.80
  6. Step 6: Final answer
    x = 1,542.39

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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.