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Finding the Fourth Proportional to 770.02, 1,155.02 and 192.89

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Solution

The fourth proportional to 770.02, 1,155.02 and 192.89 is: 289.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.02 : 1,155.02 = 192.89 : x
  2. Step 2: Convert to fraction form
    770.02/1,155.02 = 192.89/x
  3. Step 3: Cross multiply
    770.02x = 1,155.02 × 192.89
  4. Step 4: Simplify right side
    770.02x = 222,791.81
  5. Step 5: Solve for x
    x = 222,791.81/770.02
  6. Step 6: Final answer
    x = 289.33

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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.