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Finding the Fourth Proportional to 812.55, 1,121.31 and 463.23

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Solution

The fourth proportional to 812.55, 1,121.31 and 463.23 is: 639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.55 : 1,121.31 = 463.23 : x
  2. Step 2: Convert to fraction form
    812.55/1,121.31 = 463.23/x
  3. Step 3: Cross multiply
    812.55x = 1,121.31 × 463.23
  4. Step 4: Simplify right side
    812.55x = 519,424.43
  5. Step 5: Solve for x
    x = 519,424.43/812.55
  6. Step 6: Final answer
    x = 639.25

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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.