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Finding the Fourth Proportional to 1,119.50, 1,679.52 and 350

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Solution

The fourth proportional to 1,119.50, 1,679.52 and 350 is: 525.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.50 : 1,679.52 = 350 : x
  2. Step 2: Convert to fraction form
    1,119.50/1,679.52 = 350/x
  3. Step 3: Cross multiply
    1,119.50x = 1,679.52 × 350
  4. Step 4: Simplify right side
    1,119.50x = 587,832
  5. Step 5: Solve for x
    x = 587,832/1,119.50
  6. Step 6: Final answer
    x = 525.08

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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.