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Finding the Fourth Proportional to 1,026.03, 1,537.20 and 717.27

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Solution

The fourth proportional to 1,026.03, 1,537.20 and 717.27 is: 1,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.03 : 1,537.20 = 717.27 : x
  2. Step 2: Convert to fraction form
    1,026.03/1,537.20 = 717.27/x
  3. Step 3: Cross multiply
    1,026.03x = 1,537.20 × 717.27
  4. Step 4: Simplify right side
    1,026.03x = 1,102,587.44
  5. Step 5: Solve for x
    x = 1,102,587.44/1,026.03
  6. Step 6: Final answer
    x = 1,074.62

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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.