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Finding the Fourth Proportional to 1,319.94, 1,979.46 and 626.22

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Solution

The fourth proportional to 1,319.94, 1,979.46 and 626.22 is: 939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.94 : 1,979.46 = 626.22 : x
  2. Step 2: Convert to fraction form
    1,319.94/1,979.46 = 626.22/x
  3. Step 3: Cross multiply
    1,319.94x = 1,979.46 × 626.22
  4. Step 4: Simplify right side
    1,319.94x = 1,239,577.44
  5. Step 5: Solve for x
    x = 1,239,577.44/1,319.94
  6. Step 6: Final answer
    x = 939.12

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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.