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Finding the Fourth Proportional to 812.25, 1,121.82 and 549.81

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Solution

The fourth proportional to 812.25, 1,121.82 and 549.81 is: 759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.25 : 1,121.82 = 549.81 : x
  2. Step 2: Convert to fraction form
    812.25/1,121.82 = 549.81/x
  3. Step 3: Cross multiply
    812.25x = 1,121.82 × 549.81
  4. Step 4: Simplify right side
    812.25x = 616,785.79
  5. Step 5: Solve for x
    x = 616,785.79/812.25
  6. Step 6: Final answer
    x = 759.35

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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.