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Finding the Fourth Proportional to 702.68, 969.30 and 506.25

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Solution

The fourth proportional to 702.68, 969.30 and 506.25 is: 698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.68 : 969.30 = 506.25 : x
  2. Step 2: Convert to fraction form
    702.68/969.30 = 506.25/x
  3. Step 3: Cross multiply
    702.68x = 969.30 × 506.25
  4. Step 4: Simplify right side
    702.68x = 490,708.13
  5. Step 5: Solve for x
    x = 490,708.13/702.68
  6. Step 6: Final answer
    x = 698.34

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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.