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Finding the Fourth Proportional to 770.28, 1,152.22 and 665.96

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Solution

The fourth proportional to 770.28, 1,152.22 and 665.96 is: 996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.28 : 1,152.22 = 665.96 : x
  2. Step 2: Convert to fraction form
    770.28/1,152.22 = 665.96/x
  3. Step 3: Cross multiply
    770.28x = 1,152.22 × 665.96
  4. Step 4: Simplify right side
    770.28x = 767,332.43
  5. Step 5: Solve for x
    x = 767,332.43/770.28
  6. Step 6: Final answer
    x = 996.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.