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Finding the Fourth Proportional to 913.11, 1,367.49 and 705.96

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Solution

The fourth proportional to 913.11, 1,367.49 and 705.96 is: 1,057.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.11 : 1,367.49 = 705.96 : x
  2. Step 2: Convert to fraction form
    913.11/1,367.49 = 705.96/x
  3. Step 3: Cross multiply
    913.11x = 1,367.49 × 705.96
  4. Step 4: Simplify right side
    913.11x = 965,393.24
  5. Step 5: Solve for x
    x = 965,393.24/913.11
  6. Step 6: Final answer
    x = 1,057.26

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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.