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Finding the Fourth Proportional to 702.22, 969.42 and 506.20

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Solution

The fourth proportional to 702.22, 969.42 and 506.20 is: 698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.22 : 969.42 = 506.20 : x
  2. Step 2: Convert to fraction form
    702.22/969.42 = 506.20/x
  3. Step 3: Cross multiply
    702.22x = 969.42 × 506.20
  4. Step 4: Simplify right side
    702.22x = 490,720.40
  5. Step 5: Solve for x
    x = 490,720.40/702.22
  6. Step 6: Final answer
    x = 698.81

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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.