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Finding the Fourth Proportional to 812.41, 1,121.07 and 458.35

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Solution

The fourth proportional to 812.41, 1,121.07 and 458.35 is: 632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.41 : 1,121.07 = 458.35 : x
  2. Step 2: Convert to fraction form
    812.41/1,121.07 = 458.35/x
  3. Step 3: Cross multiply
    812.41x = 1,121.07 × 458.35
  4. Step 4: Simplify right side
    812.41x = 513,842.43
  5. Step 5: Solve for x
    x = 513,842.43/812.41
  6. Step 6: Final answer
    x = 632.49

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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.