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Finding the Fourth Proportional to 834.41, 1,250.84 and 286.46

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Solution

The fourth proportional to 834.41, 1,250.84 and 286.46 is: 429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.41 : 1,250.84 = 286.46 : x
  2. Step 2: Convert to fraction form
    834.41/1,250.84 = 286.46/x
  3. Step 3: Cross multiply
    834.41x = 1,250.84 × 286.46
  4. Step 4: Simplify right side
    834.41x = 358,314.19
  5. Step 5: Solve for x
    x = 358,314.19/834.41
  6. Step 6: Final answer
    x = 429.42

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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.