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Finding the Fourth Proportional to 1,046.58, 1,568.94 and 814.21

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Solution

The fourth proportional to 1,046.58, 1,568.94 and 814.21 is: 1,220.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.58 : 1,568.94 = 814.21 : x
  2. Step 2: Convert to fraction form
    1,046.58/1,568.94 = 814.21/x
  3. Step 3: Cross multiply
    1,046.58x = 1,568.94 × 814.21
  4. Step 4: Simplify right side
    1,046.58x = 1,277,439.66
  5. Step 5: Solve for x
    x = 1,277,439.66/1,046.58
  6. Step 6: Final answer
    x = 1,220.59

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Why These Related Problems?

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