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Finding the Fourth Proportional to 774.43, 1,066.64 and 716.04

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Solution

The fourth proportional to 774.43, 1,066.64 and 716.04 is: 986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.43 : 1,066.64 = 716.04 : x
  2. Step 2: Convert to fraction form
    774.43/1,066.64 = 716.04/x
  3. Step 3: Cross multiply
    774.43x = 1,066.64 × 716.04
  4. Step 4: Simplify right side
    774.43x = 763,753.33
  5. Step 5: Solve for x
    x = 763,753.33/774.43
  6. Step 6: Final answer
    x = 986.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.