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Finding the Fourth Proportional to 1,211.26, 1,816.84 and 345.57

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Solution

The fourth proportional to 1,211.26, 1,816.84 and 345.57 is: 518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.26 : 1,816.84 = 345.57 : x
  2. Step 2: Convert to fraction form
    1,211.26/1,816.84 = 345.57/x
  3. Step 3: Cross multiply
    1,211.26x = 1,816.84 × 345.57
  4. Step 4: Simplify right side
    1,211.26x = 627,845.40
  5. Step 5: Solve for x
    x = 627,845.40/1,211.26
  6. Step 6: Final answer
    x = 518.34

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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.