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Finding the Fourth Proportional to 851.49, 1,175.61 and 615.84

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Solution

The fourth proportional to 851.49, 1,175.61 and 615.84 is: 850.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.49 : 1,175.61 = 615.84 : x
  2. Step 2: Convert to fraction form
    851.49/1,175.61 = 615.84/x
  3. Step 3: Cross multiply
    851.49x = 1,175.61 × 615.84
  4. Step 4: Simplify right side
    851.49x = 723,987.66
  5. Step 5: Solve for x
    x = 723,987.66/851.49
  6. Step 6: Final answer
    x = 850.26

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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.