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Finding the Fourth Proportional to 1,490.65, 2,056.84 and 827.42

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Solution

The fourth proportional to 1,490.65, 2,056.84 and 827.42 is: 1,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.65 : 2,056.84 = 827.42 : x
  2. Step 2: Convert to fraction form
    1,490.65/2,056.84 = 827.42/x
  3. Step 3: Cross multiply
    1,490.65x = 2,056.84 × 827.42
  4. Step 4: Simplify right side
    1,490.65x = 1,701,862.85
  5. Step 5: Solve for x
    x = 1,701,862.85/1,490.65
  6. Step 6: Final answer
    x = 1,141.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.