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Finding the Fourth Proportional to 1,269.55, 1,751.46 and 827.29

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Solution

The fourth proportional to 1,269.55, 1,751.46 and 827.29 is: 1,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.55 : 1,751.46 = 827.29 : x
  2. Step 2: Convert to fraction form
    1,269.55/1,751.46 = 827.29/x
  3. Step 3: Cross multiply
    1,269.55x = 1,751.46 × 827.29
  4. Step 4: Simplify right side
    1,269.55x = 1,448,965.34
  5. Step 5: Solve for x
    x = 1,448,965.34/1,269.55
  6. Step 6: Final answer
    x = 1,141.32

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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.