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Finding the Fourth Proportional to 770.97, 1,156.62 and 223.19

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Solution

The fourth proportional to 770.97, 1,156.62 and 223.19 is: 334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.97 : 1,156.62 = 223.19 : x
  2. Step 2: Convert to fraction form
    770.97/1,156.62 = 223.19/x
  3. Step 3: Cross multiply
    770.97x = 1,156.62 × 223.19
  4. Step 4: Simplify right side
    770.97x = 258,146.02
  5. Step 5: Solve for x
    x = 258,146.02/770.97
  6. Step 6: Final answer
    x = 334.83

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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.