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Finding the Fourth Proportional to 812.42, 1,121.06 and 458.27

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Solution

The fourth proportional to 812.42, 1,121.06 and 458.27 is: 632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.42 : 1,121.06 = 458.27 : x
  2. Step 2: Convert to fraction form
    812.42/1,121.06 = 458.27/x
  3. Step 3: Cross multiply
    812.42x = 1,121.06 × 458.27
  4. Step 4: Simplify right side
    812.42x = 513,740.27
  5. Step 5: Solve for x
    x = 513,740.27/812.42
  6. Step 6: Final answer
    x = 632.36

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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.