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Finding the Fourth Proportional to 1,508.26, 2,262.38 and 482.26

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Solution

The fourth proportional to 1,508.26, 2,262.38 and 482.26 is: 723.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.26 : 2,262.38 = 482.26 : x
  2. Step 2: Convert to fraction form
    1,508.26/2,262.38 = 482.26/x
  3. Step 3: Cross multiply
    1,508.26x = 2,262.38 × 482.26
  4. Step 4: Simplify right side
    1,508.26x = 1,091,055.38
  5. Step 5: Solve for x
    x = 1,091,055.38/1,508.26
  6. Step 6: Final answer
    x = 723.39

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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.