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Finding the Fourth Proportional to 833.77, 1,149.78 and 611.47

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Solution

The fourth proportional to 833.77, 1,149.78 and 611.47 is: 843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.77 : 1,149.78 = 611.47 : x
  2. Step 2: Convert to fraction form
    833.77/1,149.78 = 611.47/x
  3. Step 3: Cross multiply
    833.77x = 1,149.78 × 611.47
  4. Step 4: Simplify right side
    833.77x = 703,055.98
  5. Step 5: Solve for x
    x = 703,055.98/833.77
  6. Step 6: Final answer
    x = 843.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.