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Finding the Fourth Proportional to 770.34, 1,155.52 and 193.22

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Solution

The fourth proportional to 770.34, 1,155.52 and 193.22 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.34 : 1,155.52 = 193.22 : x
  2. Step 2: Convert to fraction form
    770.34/1,155.52 = 193.22/x
  3. Step 3: Cross multiply
    770.34x = 1,155.52 × 193.22
  4. Step 4: Simplify right side
    770.34x = 223,267.28
  5. Step 5: Solve for x
    x = 223,267.28/770.34
  6. Step 6: Final answer
    x = 289.83

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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.