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Finding the Fourth Proportional to 689.93, 1,035.24 and 343.25

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Solution

The fourth proportional to 689.93, 1,035.24 and 343.25 is: 515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.93 : 1,035.24 = 343.25 : x
  2. Step 2: Convert to fraction form
    689.93/1,035.24 = 343.25/x
  3. Step 3: Cross multiply
    689.93x = 1,035.24 × 343.25
  4. Step 4: Simplify right side
    689.93x = 355,346.13
  5. Step 5: Solve for x
    x = 355,346.13/689.93
  6. Step 6: Final answer
    x = 515.05

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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.