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Finding the Fourth Proportional to 941.62, 1,299.48 and 543.34

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Solution

The fourth proportional to 941.62, 1,299.48 and 543.34 is: 749.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.62 : 1,299.48 = 543.34 : x
  2. Step 2: Convert to fraction form
    941.62/1,299.48 = 543.34/x
  3. Step 3: Cross multiply
    941.62x = 1,299.48 × 543.34
  4. Step 4: Simplify right side
    941.62x = 706,059.46
  5. Step 5: Solve for x
    x = 706,059.46/941.62
  6. Step 6: Final answer
    x = 749.83

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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.