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Finding the Fourth Proportional to 1,007.57, 1,388.44 and 727.31

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Solution

The fourth proportional to 1,007.57, 1,388.44 and 727.31 is: 1,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.57 : 1,388.44 = 727.31 : x
  2. Step 2: Convert to fraction form
    1,007.57/1,388.44 = 727.31/x
  3. Step 3: Cross multiply
    1,007.57x = 1,388.44 × 727.31
  4. Step 4: Simplify right side
    1,007.57x = 1,009,826.30
  5. Step 5: Solve for x
    x = 1,009,826.30/1,007.57
  6. Step 6: Final answer
    x = 1,002.24

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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.