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Finding the Fourth Proportional to 680.44, 939.54 and 532.84

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Solution

The fourth proportional to 680.44, 939.54 and 532.84 is: 735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.44 : 939.54 = 532.84 : x
  2. Step 2: Convert to fraction form
    680.44/939.54 = 532.84/x
  3. Step 3: Cross multiply
    680.44x = 939.54 × 532.84
  4. Step 4: Simplify right side
    680.44x = 500,624.49
  5. Step 5: Solve for x
    x = 500,624.49/680.44
  6. Step 6: Final answer
    x = 735.74

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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.