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Finding the Fourth Proportional to 812.92, 1,121.86 and 463.64

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Solution

The fourth proportional to 812.92, 1,121.86 and 463.64 is: 639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.92 : 1,121.86 = 463.64 : x
  2. Step 2: Convert to fraction form
    812.92/1,121.86 = 463.64/x
  3. Step 3: Cross multiply
    812.92x = 1,121.86 × 463.64
  4. Step 4: Simplify right side
    812.92x = 520,139.17
  5. Step 5: Solve for x
    x = 520,139.17/812.92
  6. Step 6: Final answer
    x = 639.84

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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.