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Finding the Fourth Proportional to 833.96, 1,251.17 and 286.19

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Solution

The fourth proportional to 833.96, 1,251.17 and 286.19 is: 429.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.96 : 1,251.17 = 286.19 : x
  2. Step 2: Convert to fraction form
    833.96/1,251.17 = 286.19/x
  3. Step 3: Cross multiply
    833.96x = 1,251.17 × 286.19
  4. Step 4: Simplify right side
    833.96x = 358,064.66
  5. Step 5: Solve for x
    x = 358,064.66/833.96
  6. Step 6: Final answer
    x = 429.36

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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.