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Finding the Fourth Proportional to 1,014.64, 1,398.90 and 827.94

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Solution

The fourth proportional to 1,014.64, 1,398.90 and 827.94 is: 1,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.64 : 1,398.90 = 827.94 : x
  2. Step 2: Convert to fraction form
    1,014.64/1,398.90 = 827.94/x
  3. Step 3: Cross multiply
    1,014.64x = 1,398.90 × 827.94
  4. Step 4: Simplify right side
    1,014.64x = 1,158,205.27
  5. Step 5: Solve for x
    x = 1,158,205.27/1,014.64
  6. Step 6: Final answer
    x = 1,141.49

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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.