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Finding the Fourth Proportional to 818.24, 1,229.22 and 493.83

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Solution

The fourth proportional to 818.24, 1,229.22 and 493.83 is: 741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.24 : 1,229.22 = 493.83 : x
  2. Step 2: Convert to fraction form
    818.24/1,229.22 = 493.83/x
  3. Step 3: Cross multiply
    818.24x = 1,229.22 × 493.83
  4. Step 4: Simplify right side
    818.24x = 607,025.71
  5. Step 5: Solve for x
    x = 607,025.71/818.24
  6. Step 6: Final answer
    x = 741.87

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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.