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Finding the Fourth Proportional to 965.82, 1,333.02 and 546.17

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Solution

The fourth proportional to 965.82, 1,333.02 and 546.17 is: 753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.82 : 1,333.02 = 546.17 : x
  2. Step 2: Convert to fraction form
    965.82/1,333.02 = 546.17/x
  3. Step 3: Cross multiply
    965.82x = 1,333.02 × 546.17
  4. Step 4: Simplify right side
    965.82x = 728,055.53
  5. Step 5: Solve for x
    x = 728,055.53/965.82
  6. Step 6: Final answer
    x = 753.82

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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.