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Finding the Fourth Proportional to 833.22, 1,243.49 and 740.96

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Solution

The fourth proportional to 833.22, 1,243.49 and 740.96 is: 1,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.22 : 1,243.49 = 740.96 : x
  2. Step 2: Convert to fraction form
    833.22/1,243.49 = 740.96/x
  3. Step 3: Cross multiply
    833.22x = 1,243.49 × 740.96
  4. Step 4: Simplify right side
    833.22x = 921,366.43
  5. Step 5: Solve for x
    x = 921,366.43/833.22
  6. Step 6: Final answer
    x = 1,105.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.