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Finding the Fourth Proportional to 855.16, 1,175.02 and 680.20

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Solution

The fourth proportional to 855.16, 1,175.02 and 680.20 is: 934.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.16 : 1,175.02 = 680.20 : x
  2. Step 2: Convert to fraction form
    855.16/1,175.02 = 680.20/x
  3. Step 3: Cross multiply
    855.16x = 1,175.02 × 680.20
  4. Step 4: Simplify right side
    855.16x = 799,248.60
  5. Step 5: Solve for x
    x = 799,248.60/855.16
  6. Step 6: Final answer
    x = 934.62

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.