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Finding the Fourth Proportional to 808.62, 1,211.18 and 500.55

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Solution

The fourth proportional to 808.62, 1,211.18 and 500.55 is: 749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.62 : 1,211.18 = 500.55 : x
  2. Step 2: Convert to fraction form
    808.62/1,211.18 = 500.55/x
  3. Step 3: Cross multiply
    808.62x = 1,211.18 × 500.55
  4. Step 4: Simplify right side
    808.62x = 606,253.65
  5. Step 5: Solve for x
    x = 606,253.65/808.62
  6. Step 6: Final answer
    x = 749.74

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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.