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Finding the Fourth Proportional to 834.40, 1,250.70 and 444.15

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Solution

The fourth proportional to 834.40, 1,250.70 and 444.15 is: 665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.40 : 1,250.70 = 444.15 : x
  2. Step 2: Convert to fraction form
    834.40/1,250.70 = 444.15/x
  3. Step 3: Cross multiply
    834.40x = 1,250.70 × 444.15
  4. Step 4: Simplify right side
    834.40x = 555,498.41
  5. Step 5: Solve for x
    x = 555,498.41/834.40
  6. Step 6: Final answer
    x = 665.75

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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.