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Finding the Fourth Proportional to 1,253.67, 1,729.82 and 811.51

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Solution

The fourth proportional to 1,253.67, 1,729.82 and 811.51 is: 1,119.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.67 : 1,729.82 = 811.51 : x
  2. Step 2: Convert to fraction form
    1,253.67/1,729.82 = 811.51/x
  3. Step 3: Cross multiply
    1,253.67x = 1,729.82 × 811.51
  4. Step 4: Simplify right side
    1,253.67x = 1,403,757.58
  5. Step 5: Solve for x
    x = 1,403,757.58/1,253.67
  6. Step 6: Final answer
    x = 1,119.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.