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Finding the Fourth Proportional to 833.05, 1,249.57 and 285.23

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Solution

The fourth proportional to 833.05, 1,249.57 and 285.23 is: 427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.05 : 1,249.57 = 285.23 : x
  2. Step 2: Convert to fraction form
    833.05/1,249.57 = 285.23/x
  3. Step 3: Cross multiply
    833.05x = 1,249.57 × 285.23
  4. Step 4: Simplify right side
    833.05x = 356,417.26
  5. Step 5: Solve for x
    x = 356,417.26/833.05
  6. Step 6: Final answer
    x = 427.85

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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.