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Finding the Fourth Proportional to 771.53, 1,067.99 and 705.92

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Solution

The fourth proportional to 771.53, 1,067.99 and 705.92 is: 977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.53 : 1,067.99 = 705.92 : x
  2. Step 2: Convert to fraction form
    771.53/1,067.99 = 705.92/x
  3. Step 3: Cross multiply
    771.53x = 1,067.99 × 705.92
  4. Step 4: Simplify right side
    771.53x = 753,906.63
  5. Step 5: Solve for x
    x = 753,906.63/771.53
  6. Step 6: Final answer
    x = 977.16

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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.