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Finding the Fourth Proportional to 1,204.73, 1,661.47 and 811.07

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Solution

The fourth proportional to 1,204.73, 1,661.47 and 811.07 is: 1,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.73 : 1,661.47 = 811.07 : x
  2. Step 2: Convert to fraction form
    1,204.73/1,661.47 = 811.07/x
  3. Step 3: Cross multiply
    1,204.73x = 1,661.47 × 811.07
  4. Step 4: Simplify right side
    1,204.73x = 1,347,568.47
  5. Step 5: Solve for x
    x = 1,347,568.47/1,204.73
  6. Step 6: Final answer
    x = 1,118.56

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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.