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Finding the Fourth Proportional to 931.92, 1,282.82 and 805.82

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Solution

The fourth proportional to 931.92, 1,282.82 and 805.82 is: 1,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.92 : 1,282.82 = 805.82 : x
  2. Step 2: Convert to fraction form
    931.92/1,282.82 = 805.82/x
  3. Step 3: Cross multiply
    931.92x = 1,282.82 × 805.82
  4. Step 4: Simplify right side
    931.92x = 1,033,722.01
  5. Step 5: Solve for x
    x = 1,033,722.01/931.92
  6. Step 6: Final answer
    x = 1,109.24

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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.