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Finding the Fourth Proportional to 1,017.26, 1,396.56 and 918.44

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Solution

The fourth proportional to 1,017.26, 1,396.56 and 918.44 is: 1,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.26 : 1,396.56 = 918.44 : x
  2. Step 2: Convert to fraction form
    1,017.26/1,396.56 = 918.44/x
  3. Step 3: Cross multiply
    1,017.26x = 1,396.56 × 918.44
  4. Step 4: Simplify right side
    1,017.26x = 1,282,656.57
  5. Step 5: Solve for x
    x = 1,282,656.57/1,017.26
  6. Step 6: Final answer
    x = 1,260.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.