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Finding the Fourth Proportional to 968.76, 1,336.90 and 543.40

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Solution

The fourth proportional to 968.76, 1,336.90 and 543.40 is: 749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.76 : 1,336.90 = 543.40 : x
  2. Step 2: Convert to fraction form
    968.76/1,336.90 = 543.40/x
  3. Step 3: Cross multiply
    968.76x = 1,336.90 × 543.40
  4. Step 4: Simplify right side
    968.76x = 726,471.46
  5. Step 5: Solve for x
    x = 726,471.46/968.76
  6. Step 6: Final answer
    x = 749.90

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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.