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Finding the Fourth Proportional to 1,735.26, 2,604.47 and 811.36

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Solution

The fourth proportional to 1,735.26, 2,604.47 and 811.36 is: 1,217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.26 : 2,604.47 = 811.36 : x
  2. Step 2: Convert to fraction form
    1,735.26/2,604.47 = 811.36/x
  3. Step 3: Cross multiply
    1,735.26x = 2,604.47 × 811.36
  4. Step 4: Simplify right side
    1,735.26x = 2,113,162.78
  5. Step 5: Solve for x
    x = 2,113,162.78/1,735.26
  6. Step 6: Final answer
    x = 1,217.78

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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.