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Finding the Fourth Proportional to 1,297.35, 1,781.29 and 1,263.52

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Solution

The fourth proportional to 1,297.35, 1,781.29 and 1,263.52 is: 1,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.35 : 1,781.29 = 1,263.52 : x
  2. Step 2: Convert to fraction form
    1,297.35/1,781.29 = 1,263.52/x
  3. Step 3: Cross multiply
    1,297.35x = 1,781.29 × 1,263.52
  4. Step 4: Simplify right side
    1,297.35x = 2,250,699.35
  5. Step 5: Solve for x
    x = 2,250,699.35/1,297.35
  6. Step 6: Final answer
    x = 1,734.84

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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.