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Finding the Fourth Proportional to 812.89, 1,121.88 and 458.88

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Solution

The fourth proportional to 812.89, 1,121.88 and 458.88 is: 633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.89 : 1,121.88 = 458.88 : x
  2. Step 2: Convert to fraction form
    812.89/1,121.88 = 458.88/x
  3. Step 3: Cross multiply
    812.89x = 1,121.88 × 458.88
  4. Step 4: Simplify right side
    812.89x = 514,802.69
  5. Step 5: Solve for x
    x = 514,802.69/812.89
  6. Step 6: Final answer
    x = 633.30

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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.