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Finding the Fourth Proportional to 1,440.32, 1,986.96 and 842.83

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Solution

The fourth proportional to 1,440.32, 1,986.96 and 842.83 is: 1,162.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.32 : 1,986.96 = 842.83 : x
  2. Step 2: Convert to fraction form
    1,440.32/1,986.96 = 842.83/x
  3. Step 3: Cross multiply
    1,440.32x = 1,986.96 × 842.83
  4. Step 4: Simplify right side
    1,440.32x = 1,674,659.56
  5. Step 5: Solve for x
    x = 1,674,659.56/1,440.32
  6. Step 6: Final answer
    x = 1,162.70

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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.