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Finding the Fourth Proportional to 759.88, 1,140.15 and 327.07

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Solution

The fourth proportional to 759.88, 1,140.15 and 327.07 is: 490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.88 : 1,140.15 = 327.07 : x
  2. Step 2: Convert to fraction form
    759.88/1,140.15 = 327.07/x
  3. Step 3: Cross multiply
    759.88x = 1,140.15 × 327.07
  4. Step 4: Simplify right side
    759.88x = 372,908.86
  5. Step 5: Solve for x
    x = 372,908.86/759.88
  6. Step 6: Final answer
    x = 490.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.