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Finding the Fourth Proportional to 767.70, 1,151.55 and 722.14

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Solution

The fourth proportional to 767.70, 1,151.55 and 722.14 is: 1,083.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.70 : 1,151.55 = 722.14 : x
  2. Step 2: Convert to fraction form
    767.70/1,151.55 = 722.14/x
  3. Step 3: Cross multiply
    767.70x = 1,151.55 × 722.14
  4. Step 4: Simplify right side
    767.70x = 831,577.44
  5. Step 5: Solve for x
    x = 831,577.44/767.70
  6. Step 6: Final answer
    x = 1,083.21

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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.