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Finding the Fourth Proportional to 1,735.78, 2,605.21 and 811.84

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Solution

The fourth proportional to 1,735.78, 2,605.21 and 811.84 is: 1,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.78 : 2,605.21 = 811.84 : x
  2. Step 2: Convert to fraction form
    1,735.78/2,605.21 = 811.84/x
  3. Step 3: Cross multiply
    1,735.78x = 2,605.21 × 811.84
  4. Step 4: Simplify right side
    1,735.78x = 2,115,013.69
  5. Step 5: Solve for x
    x = 2,115,013.69/1,735.78
  6. Step 6: Final answer
    x = 1,218.48

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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.