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Finding the Fourth Proportional to 702.56, 969.84 and 671.60

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Solution

The fourth proportional to 702.56, 969.84 and 671.60 is: 927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.56 : 969.84 = 671.60 : x
  2. Step 2: Convert to fraction form
    702.56/969.84 = 671.60/x
  3. Step 3: Cross multiply
    702.56x = 969.84 × 671.60
  4. Step 4: Simplify right side
    702.56x = 651,344.54
  5. Step 5: Solve for x
    x = 651,344.54/702.56
  6. Step 6: Final answer
    x = 927.10

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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.