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Finding the Fourth Proportional to 1,508.36, 2,262.01 and 717.63

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Solution

The fourth proportional to 1,508.36, 2,262.01 and 717.63 is: 1,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.36 : 2,262.01 = 717.63 : x
  2. Step 2: Convert to fraction form
    1,508.36/2,262.01 = 717.63/x
  3. Step 3: Cross multiply
    1,508.36x = 2,262.01 × 717.63
  4. Step 4: Simplify right side
    1,508.36x = 1,623,286.24
  5. Step 5: Solve for x
    x = 1,623,286.24/1,508.36
  6. Step 6: Final answer
    x = 1,076.19

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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.