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Finding the Fourth Proportional to 699.88, 1,049.14 and 334.57

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Solution

The fourth proportional to 699.88, 1,049.14 and 334.57 is: 501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.88 : 1,049.14 = 334.57 : x
  2. Step 2: Convert to fraction form
    699.88/1,049.14 = 334.57/x
  3. Step 3: Cross multiply
    699.88x = 1,049.14 × 334.57
  4. Step 4: Simplify right side
    699.88x = 351,010.77
  5. Step 5: Solve for x
    x = 351,010.77/699.88
  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.