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Finding the Fourth Proportional to 1,288.44, 1,777.26 and 821.88

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Solution

The fourth proportional to 1,288.44, 1,777.26 and 821.88 is: 1,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.44 : 1,777.26 = 821.88 : x
  2. Step 2: Convert to fraction form
    1,288.44/1,777.26 = 821.88/x
  3. Step 3: Cross multiply
    1,288.44x = 1,777.26 × 821.88
  4. Step 4: Simplify right side
    1,288.44x = 1,460,694.45
  5. Step 5: Solve for x
    x = 1,460,694.45/1,288.44
  6. Step 6: Final answer
    x = 1,133.69

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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.