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Finding the Fourth Proportional to 689.82, 1,034.07 and 364.20

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Solution

The fourth proportional to 689.82, 1,034.07 and 364.20 is: 545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.82 : 1,034.07 = 364.20 : x
  2. Step 2: Convert to fraction form
    689.82/1,034.07 = 364.20/x
  3. Step 3: Cross multiply
    689.82x = 1,034.07 × 364.20
  4. Step 4: Simplify right side
    689.82x = 376,603.05
  5. Step 5: Solve for x
    x = 376,603.05/689.82
  6. Step 6: Final answer
    x = 545.95

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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.