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Finding the Fourth Proportional to 1,015.43, 1,399.83 and 665.51

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Solution

The fourth proportional to 1,015.43, 1,399.83 and 665.51 is: 917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.43 : 1,399.83 = 665.51 : x
  2. Step 2: Convert to fraction form
    1,015.43/1,399.83 = 665.51/x
  3. Step 3: Cross multiply
    1,015.43x = 1,399.83 × 665.51
  4. Step 4: Simplify right side
    1,015.43x = 931,600.86
  5. Step 5: Solve for x
    x = 931,600.86/1,015.43
  6. Step 6: Final answer
    x = 917.44

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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.