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Finding the Fourth Proportional to 857.07, 1,182.86 and 749.75

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Solution

The fourth proportional to 857.07, 1,182.86 and 749.75 is: 1,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.07 : 1,182.86 = 749.75 : x
  2. Step 2: Convert to fraction form
    857.07/1,182.86 = 749.75/x
  3. Step 3: Cross multiply
    857.07x = 1,182.86 × 749.75
  4. Step 4: Simplify right side
    857.07x = 886,839.62
  5. Step 5: Solve for x
    x = 886,839.62/857.07
  6. Step 6: Final answer
    x = 1,034.73

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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.