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Finding the Fourth Proportional to 812.86, 1,121.82 and 463.66

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Solution

The fourth proportional to 812.86, 1,121.82 and 463.66 is: 639.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.86 : 1,121.82 = 463.66 : x
  2. Step 2: Convert to fraction form
    812.86/1,121.82 = 463.66/x
  3. Step 3: Cross multiply
    812.86x = 1,121.82 × 463.66
  4. Step 4: Simplify right side
    812.86x = 520,143.06
  5. Step 5: Solve for x
    x = 520,143.06/812.86
  6. Step 6: Final answer
    x = 639.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.