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Finding the Fourth Proportional to 755.67, 1,133.82 and 426.65

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Solution

The fourth proportional to 755.67, 1,133.82 and 426.65 is: 640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.67 : 1,133.82 = 426.65 : x
  2. Step 2: Convert to fraction form
    755.67/1,133.82 = 426.65/x
  3. Step 3: Cross multiply
    755.67x = 1,133.82 × 426.65
  4. Step 4: Simplify right side
    755.67x = 483,746.21
  5. Step 5: Solve for x
    x = 483,746.21/755.67
  6. Step 6: Final answer
    x = 640.15

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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.