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Finding the Fourth Proportional to 1,254.11, 1,729.73 and 811.67

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Solution

The fourth proportional to 1,254.11, 1,729.73 and 811.67 is: 1,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.11 : 1,729.73 = 811.67 : x
  2. Step 2: Convert to fraction form
    1,254.11/1,729.73 = 811.67/x
  3. Step 3: Cross multiply
    1,254.11x = 1,729.73 × 811.67
  4. Step 4: Simplify right side
    1,254.11x = 1,403,963.33
  5. Step 5: Solve for x
    x = 1,403,963.33/1,254.11
  6. Step 6: Final answer
    x = 1,119.49

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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.