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Finding the Fourth Proportional to 1,036.72, 1,424.27 and 927.64

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Solution

The fourth proportional to 1,036.72, 1,424.27 and 927.64 is: 1,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.72 : 1,424.27 = 927.64 : x
  2. Step 2: Convert to fraction form
    1,036.72/1,424.27 = 927.64/x
  3. Step 3: Cross multiply
    1,036.72x = 1,424.27 × 927.64
  4. Step 4: Simplify right side
    1,036.72x = 1,321,209.82
  5. Step 5: Solve for x
    x = 1,321,209.82/1,036.72
  6. Step 6: Final answer
    x = 1,274.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.