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Finding the Fourth Proportional to 1,288.59, 1,777.67 and 757.31

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Solution

The fourth proportional to 1,288.59, 1,777.67 and 757.31 is: 1,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.59 : 1,777.67 = 757.31 : x
  2. Step 2: Convert to fraction form
    1,288.59/1,777.67 = 757.31/x
  3. Step 3: Cross multiply
    1,288.59x = 1,777.67 × 757.31
  4. Step 4: Simplify right side
    1,288.59x = 1,346,234.59
  5. Step 5: Solve for x
    x = 1,346,234.59/1,288.59
  6. Step 6: Final answer
    x = 1,044.73

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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.