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Finding the Fourth Proportional to 812.65, 1,121.34 and 463.33

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Solution

The fourth proportional to 812.65, 1,121.34 and 463.33 is: 639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.65 : 1,121.34 = 463.33 : x
  2. Step 2: Convert to fraction form
    812.65/1,121.34 = 463.33/x
  3. Step 3: Cross multiply
    812.65x = 1,121.34 × 463.33
  4. Step 4: Simplify right side
    812.65x = 519,550.46
  5. Step 5: Solve for x
    x = 519,550.46/812.65
  6. Step 6: Final answer
    x = 639.33

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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.