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Finding the Fourth Proportional to 814.52, 1,222.70 and 541.15

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Solution

The fourth proportional to 814.52, 1,222.70 and 541.15 is: 812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.52 : 1,222.70 = 541.15 : x
  2. Step 2: Convert to fraction form
    814.52/1,222.70 = 541.15/x
  3. Step 3: Cross multiply
    814.52x = 1,222.70 × 541.15
  4. Step 4: Simplify right side
    814.52x = 661,658.34
  5. Step 5: Solve for x
    x = 661,658.34/814.52
  6. Step 6: Final answer
    x = 812.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.