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Finding the Fourth Proportional to 1,282.15, 1,922.74 and 460.27

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Solution

The fourth proportional to 1,282.15, 1,922.74 and 460.27 is: 690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.15 : 1,922.74 = 460.27 : x
  2. Step 2: Convert to fraction form
    1,282.15/1,922.74 = 460.27/x
  3. Step 3: Cross multiply
    1,282.15x = 1,922.74 × 460.27
  4. Step 4: Simplify right side
    1,282.15x = 884,979.54
  5. Step 5: Solve for x
    x = 884,979.54/1,282.15
  6. Step 6: Final answer
    x = 690.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.