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Finding the Fourth Proportional to 1,119.92, 1,679.84 and 298.24

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Solution

The fourth proportional to 1,119.92, 1,679.84 and 298.24 is: 447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.92 : 1,679.84 = 298.24 : x
  2. Step 2: Convert to fraction form
    1,119.92/1,679.84 = 298.24/x
  3. Step 3: Cross multiply
    1,119.92x = 1,679.84 × 298.24
  4. Step 4: Simplify right side
    1,119.92x = 500,995.48
  5. Step 5: Solve for x
    x = 500,995.48/1,119.92
  6. Step 6: Final answer
    x = 447.35

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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.