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Finding the Fourth Proportional to 1,245.87, 1,868.82 and 815.76

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Solution

The fourth proportional to 1,245.87, 1,868.82 and 815.76 is: 1,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.87 : 1,868.82 = 815.76 : x
  2. Step 2: Convert to fraction form
    1,245.87/1,868.82 = 815.76/x
  3. Step 3: Cross multiply
    1,245.87x = 1,868.82 × 815.76
  4. Step 4: Simplify right side
    1,245.87x = 1,524,508.60
  5. Step 5: Solve for x
    x = 1,524,508.60/1,245.87
  6. Step 6: Final answer
    x = 1,223.65

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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.