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Finding the Fourth Proportional to 1,119.44, 1,677.90 and 502.22

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Solution

The fourth proportional to 1,119.44, 1,677.90 and 502.22 is: 752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.44 : 1,677.90 = 502.22 : x
  2. Step 2: Convert to fraction form
    1,119.44/1,677.90 = 502.22/x
  3. Step 3: Cross multiply
    1,119.44x = 1,677.90 × 502.22
  4. Step 4: Simplify right side
    1,119.44x = 842,674.94
  5. Step 5: Solve for x
    x = 842,674.94/1,119.44
  6. Step 6: Final answer
    x = 752.76

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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.