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Finding the Fourth Proportional to 1,362.18, 1,879.46 and 772.50

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Solution

The fourth proportional to 1,362.18, 1,879.46 and 772.50 is: 1,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.18 : 1,879.46 = 772.50 : x
  2. Step 2: Convert to fraction form
    1,362.18/1,879.46 = 772.50/x
  3. Step 3: Cross multiply
    1,362.18x = 1,879.46 × 772.50
  4. Step 4: Simplify right side
    1,362.18x = 1,451,882.85
  5. Step 5: Solve for x
    x = 1,451,882.85/1,362.18
  6. Step 6: Final answer
    x = 1,065.85

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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.