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Finding the Fourth Proportional to 812.35, 1,121.03 and 463.03

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Solution

The fourth proportional to 812.35, 1,121.03 and 463.03 is: 638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.35 : 1,121.03 = 463.03 : x
  2. Step 2: Convert to fraction form
    812.35/1,121.03 = 463.03/x
  3. Step 3: Cross multiply
    812.35x = 1,121.03 × 463.03
  4. Step 4: Simplify right side
    812.35x = 519,070.52
  5. Step 5: Solve for x
    x = 519,070.52/812.35
  6. Step 6: Final answer
    x = 638.97

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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.