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Finding the Fourth Proportional to 1,217.93, 1,829.33 and 756.23

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Solution

The fourth proportional to 1,217.93, 1,829.33 and 756.23 is: 1,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.93 : 1,829.33 = 756.23 : x
  2. Step 2: Convert to fraction form
    1,217.93/1,829.33 = 756.23/x
  3. Step 3: Cross multiply
    1,217.93x = 1,829.33 × 756.23
  4. Step 4: Simplify right side
    1,217.93x = 1,383,390.44
  5. Step 5: Solve for x
    x = 1,383,390.44/1,217.93
  6. Step 6: Final answer
    x = 1,135.85

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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.