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Finding the Fourth Proportional to 965.85, 1,332.81 and 616.50

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Solution

The fourth proportional to 965.85, 1,332.81 and 616.50 is: 850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.85 : 1,332.81 = 616.50 : x
  2. Step 2: Convert to fraction form
    965.85/1,332.81 = 616.50/x
  3. Step 3: Cross multiply
    965.85x = 1,332.81 × 616.50
  4. Step 4: Simplify right side
    965.85x = 821,677.37
  5. Step 5: Solve for x
    x = 821,677.37/965.85
  6. Step 6: Final answer
    x = 850.73

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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.