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Finding the Fourth Proportional to 794.67, 1,194.63 and 565.21

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Solution

The fourth proportional to 794.67, 1,194.63 and 565.21 is: 849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.67 : 1,194.63 = 565.21 : x
  2. Step 2: Convert to fraction form
    794.67/1,194.63 = 565.21/x
  3. Step 3: Cross multiply
    794.67x = 1,194.63 × 565.21
  4. Step 4: Simplify right side
    794.67x = 675,216.82
  5. Step 5: Solve for x
    x = 675,216.82/794.67
  6. Step 6: Final answer
    x = 849.68

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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.