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Finding the Fourth Proportional to 1,425.59, 1,965.73 and 927.44

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Solution

The fourth proportional to 1,425.59, 1,965.73 and 927.44 is: 1,278.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.59 : 1,965.73 = 927.44 : x
  2. Step 2: Convert to fraction form
    1,425.59/1,965.73 = 927.44/x
  3. Step 3: Cross multiply
    1,425.59x = 1,965.73 × 927.44
  4. Step 4: Simplify right side
    1,425.59x = 1,823,096.63
  5. Step 5: Solve for x
    x = 1,823,096.63/1,425.59
  6. Step 6: Final answer
    x = 1,278.84

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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.