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Finding the Fourth Proportional to 833.73, 1,249.41 and 463.71

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Solution

The fourth proportional to 833.73, 1,249.41 and 463.71 is: 694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.73 : 1,249.41 = 463.71 : x
  2. Step 2: Convert to fraction form
    833.73/1,249.41 = 463.71/x
  3. Step 3: Cross multiply
    833.73x = 1,249.41 × 463.71
  4. Step 4: Simplify right side
    833.73x = 579,363.91
  5. Step 5: Solve for x
    x = 579,363.91/833.73
  6. Step 6: Final answer
    x = 694.91

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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.