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Finding the Fourth Proportional to 1,257.50, 1,733.18 and 863.84

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Solution

The fourth proportional to 1,257.50, 1,733.18 and 863.84 is: 1,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.50 : 1,733.18 = 863.84 : x
  2. Step 2: Convert to fraction form
    1,257.50/1,733.18 = 863.84/x
  3. Step 3: Cross multiply
    1,257.50x = 1,733.18 × 863.84
  4. Step 4: Simplify right side
    1,257.50x = 1,497,190.21
  5. Step 5: Solve for x
    x = 1,497,190.21/1,257.50
  6. Step 6: Final answer
    x = 1,190.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.