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Finding the Fourth Proportional to 1,288.20, 1,777.64 and 728.63

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Solution

The fourth proportional to 1,288.20, 1,777.64 and 728.63 is: 1,005.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.20 : 1,777.64 = 728.63 : x
  2. Step 2: Convert to fraction form
    1,288.20/1,777.64 = 728.63/x
  3. Step 3: Cross multiply
    1,288.20x = 1,777.64 × 728.63
  4. Step 4: Simplify right side
    1,288.20x = 1,295,229.30
  5. Step 5: Solve for x
    x = 1,295,229.30/1,288.20
  6. Step 6: Final answer
    x = 1,005.46

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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.