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Finding the Fourth Proportional to 702.34, 968.77 and 506.14

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Solution

The fourth proportional to 702.34, 968.77 and 506.14 is: 698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.34 : 968.77 = 506.14 : x
  2. Step 2: Convert to fraction form
    702.34/968.77 = 506.14/x
  3. Step 3: Cross multiply
    702.34x = 968.77 × 506.14
  4. Step 4: Simplify right side
    702.34x = 490,333.25
  5. Step 5: Solve for x
    x = 490,333.25/702.34
  6. Step 6: Final answer
    x = 698.14

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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.