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Finding the Fourth Proportional to 702.26, 966.93 and 602.54

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Solution

The fourth proportional to 702.26, 966.93 and 602.54 is: 829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.26 : 966.93 = 602.54 : x
  2. Step 2: Convert to fraction form
    702.26/966.93 = 602.54/x
  3. Step 3: Cross multiply
    702.26x = 966.93 × 602.54
  4. Step 4: Simplify right side
    702.26x = 582,609.17
  5. Step 5: Solve for x
    x = 582,609.17/702.26
  6. Step 6: Final answer
    x = 829.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.