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Finding the Fourth Proportional to 814.85, 1,222.27 and 572.46

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Solution

The fourth proportional to 814.85, 1,222.27 and 572.46 is: 858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.85 : 1,222.27 = 572.46 : x
  2. Step 2: Convert to fraction form
    814.85/1,222.27 = 572.46/x
  3. Step 3: Cross multiply
    814.85x = 1,222.27 × 572.46
  4. Step 4: Simplify right side
    814.85x = 699,697.89
  5. Step 5: Solve for x
    x = 699,697.89/814.85
  6. Step 6: Final answer
    x = 858.68

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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.