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Finding the Fourth Proportional to 1,504.73, 2,076.46 and 875.23

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Solution

The fourth proportional to 1,504.73, 2,076.46 and 875.23 is: 1,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.73 : 2,076.46 = 875.23 : x
  2. Step 2: Convert to fraction form
    1,504.73/2,076.46 = 875.23/x
  3. Step 3: Cross multiply
    1,504.73x = 2,076.46 × 875.23
  4. Step 4: Simplify right side
    1,504.73x = 1,817,380.09
  5. Step 5: Solve for x
    x = 1,817,380.09/1,504.73
  6. Step 6: Final answer
    x = 1,207.78

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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.