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Finding the Fourth Proportional to 699.85, 1,049.19 and 334.54

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Solution

The fourth proportional to 699.85, 1,049.19 and 334.54 is: 501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.85 : 1,049.19 = 334.54 : x
  2. Step 2: Convert to fraction form
    699.85/1,049.19 = 334.54/x
  3. Step 3: Cross multiply
    699.85x = 1,049.19 × 334.54
  4. Step 4: Simplify right side
    699.85x = 350,996.02
  5. Step 5: Solve for x
    x = 350,996.02/699.85
  6. Step 6: Final answer
    x = 501.53

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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.