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Finding the Fourth Proportional to 689.86, 1,033.76 and 343.18

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Solution

The fourth proportional to 689.86, 1,033.76 and 343.18 is: 514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.86 : 1,033.76 = 343.18 : x
  2. Step 2: Convert to fraction form
    689.86/1,033.76 = 343.18/x
  3. Step 3: Cross multiply
    689.86x = 1,033.76 × 343.18
  4. Step 4: Simplify right side
    689.86x = 354,765.76
  5. Step 5: Solve for x
    x = 354,765.76/689.86
  6. Step 6: Final answer
    x = 514.26

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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.