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Finding the Fourth Proportional to 1,119.21, 1,679.26 and 502.48

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Solution

The fourth proportional to 1,119.21, 1,679.26 and 502.48 is: 753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.21 : 1,679.26 = 502.48 : x
  2. Step 2: Convert to fraction form
    1,119.21/1,679.26 = 502.48/x
  3. Step 3: Cross multiply
    1,119.21x = 1,679.26 × 502.48
  4. Step 4: Simplify right side
    1,119.21x = 843,794.56
  5. Step 5: Solve for x
    x = 843,794.56/1,119.21
  6. Step 6: Final answer
    x = 753.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.