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Finding the Fourth Proportional to 818.15, 1,226.21 and 598.23

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Solution

The fourth proportional to 818.15, 1,226.21 and 598.23 is: 896.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.15 : 1,226.21 = 598.23 : x
  2. Step 2: Convert to fraction form
    818.15/1,226.21 = 598.23/x
  3. Step 3: Cross multiply
    818.15x = 1,226.21 × 598.23
  4. Step 4: Simplify right side
    818.15x = 733,552.62
  5. Step 5: Solve for x
    x = 733,552.62/818.15
  6. Step 6: Final answer
    x = 896.60

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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.