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Finding the Fourth Proportional to 849.80, 1,170.96 and 702.92

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Solution

The fourth proportional to 849.80, 1,170.96 and 702.92 is: 968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.80 : 1,170.96 = 702.92 : x
  2. Step 2: Convert to fraction form
    849.80/1,170.96 = 702.92/x
  3. Step 3: Cross multiply
    849.80x = 1,170.96 × 702.92
  4. Step 4: Simplify right side
    849.80x = 823,091.20
  5. Step 5: Solve for x
    x = 823,091.20/849.80
  6. Step 6: Final answer
    x = 968.57

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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.