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Finding the Fourth Proportional to 1,490.30, 2,056.56 and 827.18

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Solution

The fourth proportional to 1,490.30, 2,056.56 and 827.18 is: 1,141.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.30 : 2,056.56 = 827.18 : x
  2. Step 2: Convert to fraction form
    1,490.30/2,056.56 = 827.18/x
  3. Step 3: Cross multiply
    1,490.30x = 2,056.56 × 827.18
  4. Step 4: Simplify right side
    1,490.30x = 1,701,145.30
  5. Step 5: Solve for x
    x = 1,701,145.30/1,490.30
  6. Step 6: Final answer
    x = 1,141.48

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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.