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Finding the Fourth Proportional to 1,398.72, 1,932.74 and 1,005.06

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Solution

The fourth proportional to 1,398.72, 1,932.74 and 1,005.06 is: 1,388.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.72 : 1,932.74 = 1,005.06 : x
  2. Step 2: Convert to fraction form
    1,398.72/1,932.74 = 1,005.06/x
  3. Step 3: Cross multiply
    1,398.72x = 1,932.74 × 1,005.06
  4. Step 4: Simplify right side
    1,398.72x = 1,942,519.66
  5. Step 5: Solve for x
    x = 1,942,519.66/1,398.72
  6. Step 6: Final answer
    x = 1,388.78

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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.