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Finding the Fourth Proportional to 794.56, 1,096.85 and 500.26

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Solution

The fourth proportional to 794.56, 1,096.85 and 500.26 is: 690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.56 : 1,096.85 = 500.26 : x
  2. Step 2: Convert to fraction form
    794.56/1,096.85 = 500.26/x
  3. Step 3: Cross multiply
    794.56x = 1,096.85 × 500.26
  4. Step 4: Simplify right side
    794.56x = 548,702.20
  5. Step 5: Solve for x
    x = 548,702.20/794.56
  6. Step 6: Final answer
    x = 690.58

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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.