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Finding the Fourth Proportional to 965.11, 1,330.52 and 610.85

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Solution

The fourth proportional to 965.11, 1,330.52 and 610.85 is: 842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.11 : 1,330.52 = 610.85 : x
  2. Step 2: Convert to fraction form
    965.11/1,330.52 = 610.85/x
  3. Step 3: Cross multiply
    965.11x = 1,330.52 × 610.85
  4. Step 4: Simplify right side
    965.11x = 812,748.14
  5. Step 5: Solve for x
    x = 812,748.14/965.11
  6. Step 6: Final answer
    x = 842.13

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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.