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Finding the Fourth Proportional to 1,211.05, 1,815.15 and 517.49

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Solution

The fourth proportional to 1,211.05, 1,815.15 and 517.49 is: 775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.05 : 1,815.15 = 517.49 : x
  2. Step 2: Convert to fraction form
    1,211.05/1,815.15 = 517.49/x
  3. Step 3: Cross multiply
    1,211.05x = 1,815.15 × 517.49
  4. Step 4: Simplify right side
    1,211.05x = 939,312.90
  5. Step 5: Solve for x
    x = 939,312.90/1,211.05
  6. Step 6: Final answer
    x = 775.62

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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.