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Finding the Fourth Proportional to 702.20, 967.82 and 515.30

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Solution

The fourth proportional to 702.20, 967.82 and 515.30 is: 710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.20 : 967.82 = 515.30 : x
  2. Step 2: Convert to fraction form
    702.20/967.82 = 515.30/x
  3. Step 3: Cross multiply
    702.20x = 967.82 × 515.30
  4. Step 4: Simplify right side
    702.20x = 498,717.65
  5. Step 5: Solve for x
    x = 498,717.65/702.20
  6. Step 6: Final answer
    x = 710.22

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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.