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Finding the Fourth Proportional to 689.77, 1,035.06 and 324.82

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Solution

The fourth proportional to 689.77, 1,035.06 and 324.82 is: 487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.77 : 1,035.06 = 324.82 : x
  2. Step 2: Convert to fraction form
    689.77/1,035.06 = 324.82/x
  3. Step 3: Cross multiply
    689.77x = 1,035.06 × 324.82
  4. Step 4: Simplify right side
    689.77x = 336,208.19
  5. Step 5: Solve for x
    x = 336,208.19/689.77
  6. Step 6: Final answer
    x = 487.42

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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.