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Finding the Fourth Proportional to 794.16, 1,189.48 and 610.20

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Solution

The fourth proportional to 794.16, 1,189.48 and 610.20 is: 913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.16 : 1,189.48 = 610.20 : x
  2. Step 2: Convert to fraction form
    794.16/1,189.48 = 610.20/x
  3. Step 3: Cross multiply
    794.16x = 1,189.48 × 610.20
  4. Step 4: Simplify right side
    794.16x = 725,820.70
  5. Step 5: Solve for x
    x = 725,820.70/794.16
  6. Step 6: Final answer
    x = 913.95

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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.