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Finding the Fourth Proportional to 833.70, 1,250.80 and 285.88

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Solution

The fourth proportional to 833.70, 1,250.80 and 285.88 is: 428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.70 : 1,250.80 = 285.88 : x
  2. Step 2: Convert to fraction form
    833.70/1,250.80 = 285.88/x
  3. Step 3: Cross multiply
    833.70x = 1,250.80 × 285.88
  4. Step 4: Simplify right side
    833.70x = 357,578.70
  5. Step 5: Solve for x
    x = 357,578.70/833.70
  6. Step 6: Final answer
    x = 428.91

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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.