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Finding the Fourth Proportional to 818.32, 1,227.96 and 586.96

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Solution

The fourth proportional to 818.32, 1,227.96 and 586.96 is: 880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.32 : 1,227.96 = 586.96 : x
  2. Step 2: Convert to fraction form
    818.32/1,227.96 = 586.96/x
  3. Step 3: Cross multiply
    818.32x = 1,227.96 × 586.96
  4. Step 4: Simplify right side
    818.32x = 720,763.40
  5. Step 5: Solve for x
    x = 720,763.40/818.32
  6. Step 6: Final answer
    x = 880.78

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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.