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Finding the Fourth Proportional to 1,253.66, 1,728.83 and 827.52

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Solution

The fourth proportional to 1,253.66, 1,728.83 and 827.52 is: 1,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.66 : 1,728.83 = 827.52 : x
  2. Step 2: Convert to fraction form
    1,253.66/1,728.83 = 827.52/x
  3. Step 3: Cross multiply
    1,253.66x = 1,728.83 × 827.52
  4. Step 4: Simplify right side
    1,253.66x = 1,430,637.26
  5. Step 5: Solve for x
    x = 1,430,637.26/1,253.66
  6. Step 6: Final answer
    x = 1,141.17

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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.