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Finding the Fourth Proportional to 833.94, 1,144.49 and 767.70

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Solution

The fourth proportional to 833.94, 1,144.49 and 767.70 is: 1,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.94 : 1,144.49 = 767.70 : x
  2. Step 2: Convert to fraction form
    833.94/1,144.49 = 767.70/x
  3. Step 3: Cross multiply
    833.94x = 1,144.49 × 767.70
  4. Step 4: Simplify right side
    833.94x = 878,621.13
  5. Step 5: Solve for x
    x = 878,621.13/833.94
  6. Step 6: Final answer
    x = 1,053.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.