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Finding the Fourth Proportional to 812.38, 1,121.08 and 463.06

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Solution

The fourth proportional to 812.38, 1,121.08 and 463.06 is: 639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.38 : 1,121.08 = 463.06 : x
  2. Step 2: Convert to fraction form
    812.38/1,121.08 = 463.06/x
  3. Step 3: Cross multiply
    812.38x = 1,121.08 × 463.06
  4. Step 4: Simplify right side
    812.38x = 519,127.30
  5. Step 5: Solve for x
    x = 519,127.30/812.38
  6. Step 6: Final answer
    x = 639.02

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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.