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Finding the Fourth Proportional to 834.60, 1,251.37 and 444.36

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Solution

The fourth proportional to 834.60, 1,251.37 and 444.36 is: 666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.60 : 1,251.37 = 444.36 : x
  2. Step 2: Convert to fraction form
    834.60/1,251.37 = 444.36/x
  3. Step 3: Cross multiply
    834.60x = 1,251.37 × 444.36
  4. Step 4: Simplify right side
    834.60x = 556,058.77
  5. Step 5: Solve for x
    x = 556,058.77/834.60
  6. Step 6: Final answer
    x = 666.26

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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.