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Finding the Fourth Proportional to 1,197.21, 1,792.33 and 733.57

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Solution

The fourth proportional to 1,197.21, 1,792.33 and 733.57 is: 1,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.21 : 1,792.33 = 733.57 : x
  2. Step 2: Convert to fraction form
    1,197.21/1,792.33 = 733.57/x
  3. Step 3: Cross multiply
    1,197.21x = 1,792.33 × 733.57
  4. Step 4: Simplify right side
    1,197.21x = 1,314,807.41
  5. Step 5: Solve for x
    x = 1,314,807.41/1,197.21
  6. Step 6: Final answer
    x = 1,098.22

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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.