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Finding the Fourth Proportional to 649.85, 979.15 and 536.82

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Solution

The fourth proportional to 649.85, 979.15 and 536.82 is: 808.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.85 : 979.15 = 536.82 : x
  2. Step 2: Convert to fraction form
    649.85/979.15 = 536.82/x
  3. Step 3: Cross multiply
    649.85x = 979.15 × 536.82
  4. Step 4: Simplify right side
    649.85x = 525,627.97
  5. Step 5: Solve for x
    x = 525,627.97/649.85
  6. Step 6: Final answer
    x = 808.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.