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Finding the Fourth Proportional to 857.49, 1,182.35 and 680.10

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Solution

The fourth proportional to 857.49, 1,182.35 and 680.10 is: 937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.49 : 1,182.35 = 680.10 : x
  2. Step 2: Convert to fraction form
    857.49/1,182.35 = 680.10/x
  3. Step 3: Cross multiply
    857.49x = 1,182.35 × 680.10
  4. Step 4: Simplify right side
    857.49x = 804,109.68
  5. Step 5: Solve for x
    x = 804,109.68/857.49
  6. Step 6: Final answer
    x = 937.75

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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.