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Finding the Fourth Proportional to 833.62, 1,249.73 and 558.88

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Solution

The fourth proportional to 833.62, 1,249.73 and 558.88 is: 837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.62 : 1,249.73 = 558.88 : x
  2. Step 2: Convert to fraction form
    833.62/1,249.73 = 558.88/x
  3. Step 3: Cross multiply
    833.62x = 1,249.73 × 558.88
  4. Step 4: Simplify right side
    833.62x = 698,449.10
  5. Step 5: Solve for x
    x = 698,449.10/833.62
  6. Step 6: Final answer
    x = 837.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.