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Finding the Fourth Proportional to 942.75, 1,300.16 and 610.85

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Solution

The fourth proportional to 942.75, 1,300.16 and 610.85 is: 842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.75 : 1,300.16 = 610.85 : x
  2. Step 2: Convert to fraction form
    942.75/1,300.16 = 610.85/x
  3. Step 3: Cross multiply
    942.75x = 1,300.16 × 610.85
  4. Step 4: Simplify right side
    942.75x = 794,196.24
  5. Step 5: Solve for x
    x = 794,196.24/942.75
  6. Step 6: Final answer
    x = 842.43

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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.