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Finding the Fourth Proportional to 1,297.29, 1,781.21 and 1,263.46

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Solution

The fourth proportional to 1,297.29, 1,781.21 and 1,263.46 is: 1,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.29 : 1,781.21 = 1,263.46 : x
  2. Step 2: Convert to fraction form
    1,297.29/1,781.21 = 1,263.46/x
  3. Step 3: Cross multiply
    1,297.29x = 1,781.21 × 1,263.46
  4. Step 4: Simplify right side
    1,297.29x = 2,250,478.68
  5. Step 5: Solve for x
    x = 2,250,478.68/1,297.29
  6. Step 6: Final answer
    x = 1,734.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.