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Finding the Fourth Proportional to 1,375.95, 1,898.81 and 786.50

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Solution

The fourth proportional to 1,375.95, 1,898.81 and 786.50 is: 1,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.95 : 1,898.81 = 786.50 : x
  2. Step 2: Convert to fraction form
    1,375.95/1,898.81 = 786.50/x
  3. Step 3: Cross multiply
    1,375.95x = 1,898.81 × 786.50
  4. Step 4: Simplify right side
    1,375.95x = 1,493,414.73
  5. Step 5: Solve for x
    x = 1,493,414.73/1,375.95
  6. Step 6: Final answer
    x = 1,085.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.