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Finding the Fourth Proportional to 1,444.82, 1,991.72 and 1,023.82

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Solution

The fourth proportional to 1,444.82, 1,991.72 and 1,023.82 is: 1,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.82 : 1,991.72 = 1,023.82 : x
  2. Step 2: Convert to fraction form
    1,444.82/1,991.72 = 1,023.82/x
  3. Step 3: Cross multiply
    1,444.82x = 1,991.72 × 1,023.82
  4. Step 4: Simplify right side
    1,444.82x = 2,039,162.77
  5. Step 5: Solve for x
    x = 2,039,162.77/1,444.82
  6. Step 6: Final answer
    x = 1,411.36

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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.