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Finding the Fourth Proportional to 833.76, 1,250.76 and 285.84

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Solution

The fourth proportional to 833.76, 1,250.76 and 285.84 is: 428.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.76 : 1,250.76 = 285.84 : x
  2. Step 2: Convert to fraction form
    833.76/1,250.76 = 285.84/x
  3. Step 3: Cross multiply
    833.76x = 1,250.76 × 285.84
  4. Step 4: Simplify right side
    833.76x = 357,517.24
  5. Step 5: Solve for x
    x = 357,517.24/833.76
  6. Step 6: Final answer
    x = 428.80

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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.