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Finding the Fourth Proportional to 833.73, 1,250.75 and 285.90

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Solution

The fourth proportional to 833.73, 1,250.75 and 285.90 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.73 : 1,250.75 = 285.90 : x
  2. Step 2: Convert to fraction form
    833.73/1,250.75 = 285.90/x
  3. Step 3: Cross multiply
    833.73x = 1,250.75 × 285.90
  4. Step 4: Simplify right side
    833.73x = 357,581.74
  5. Step 5: Solve for x
    x = 357,581.74/833.73
  6. Step 6: Final answer
    x = 428.90

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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.