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Finding the Fourth Proportional to 794.90, 1,096.77 and 500.22

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Solution

The fourth proportional to 794.90, 1,096.77 and 500.22 is: 690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.90 : 1,096.77 = 500.22 : x
  2. Step 2: Convert to fraction form
    794.90/1,096.77 = 500.22/x
  3. Step 3: Cross multiply
    794.90x = 1,096.77 × 500.22
  4. Step 4: Simplify right side
    794.90x = 548,626.29
  5. Step 5: Solve for x
    x = 548,626.29/794.90
  6. Step 6: Final answer
    x = 690.19

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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.