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Finding the Fourth Proportional to 1,220.58, 1,829.43 and 733.68

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Solution

The fourth proportional to 1,220.58, 1,829.43 and 733.68 is: 1,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.58 : 1,829.43 = 733.68 : x
  2. Step 2: Convert to fraction form
    1,220.58/1,829.43 = 733.68/x
  3. Step 3: Cross multiply
    1,220.58x = 1,829.43 × 733.68
  4. Step 4: Simplify right side
    1,220.58x = 1,342,216.20
  5. Step 5: Solve for x
    x = 1,342,216.20/1,220.58
  6. Step 6: Final answer
    x = 1,099.65

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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.