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Finding the Fourth Proportional to 833.91, 1,150.83 and 519.36

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Solution

The fourth proportional to 833.91, 1,150.83 and 519.36 is: 716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.91 : 1,150.83 = 519.36 : x
  2. Step 2: Convert to fraction form
    833.91/1,150.83 = 519.36/x
  3. Step 3: Cross multiply
    833.91x = 1,150.83 × 519.36
  4. Step 4: Simplify right side
    833.91x = 597,695.07
  5. Step 5: Solve for x
    x = 597,695.07/833.91
  6. Step 6: Final answer
    x = 716.74

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Why These Related Problems?

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