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Finding the Fourth Proportional to 833.16, 1,149.30 and 584.85

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Solution

The fourth proportional to 833.16, 1,149.30 and 584.85 is: 806.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.16 : 1,149.30 = 584.85 : x
  2. Step 2: Convert to fraction form
    833.16/1,149.30 = 584.85/x
  3. Step 3: Cross multiply
    833.16x = 1,149.30 × 584.85
  4. Step 4: Simplify right side
    833.16x = 672,168.11
  5. Step 5: Solve for x
    x = 672,168.11/833.16
  6. Step 6: Final answer
    x = 806.77

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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.