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Finding the Fourth Proportional to 812.54, 1,121.34 and 458.60

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Solution

The fourth proportional to 812.54, 1,121.34 and 458.60 is: 632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.54 : 1,121.34 = 458.60 : x
  2. Step 2: Convert to fraction form
    812.54/1,121.34 = 458.60/x
  3. Step 3: Cross multiply
    812.54x = 1,121.34 × 458.60
  4. Step 4: Simplify right side
    812.54x = 514,246.52
  5. Step 5: Solve for x
    x = 514,246.52/812.54
  6. Step 6: Final answer
    x = 632.89

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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.