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Finding the Fourth Proportional to 1,226.09, 1,838.31 and 649.37

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Solution

The fourth proportional to 1,226.09, 1,838.31 and 649.37 is: 973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.09 : 1,838.31 = 649.37 : x
  2. Step 2: Convert to fraction form
    1,226.09/1,838.31 = 649.37/x
  3. Step 3: Cross multiply
    1,226.09x = 1,838.31 × 649.37
  4. Step 4: Simplify right side
    1,226.09x = 1,193,734.17
  5. Step 5: Solve for x
    x = 1,193,734.17/1,226.09
  6. Step 6: Final answer
    x = 973.61

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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.