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Finding the Fourth Proportional to 1,317.09, 1,974.73 and 797.23

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Solution

The fourth proportional to 1,317.09, 1,974.73 and 797.23 is: 1,195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.09 : 1,974.73 = 797.23 : x
  2. Step 2: Convert to fraction form
    1,317.09/1,974.73 = 797.23/x
  3. Step 3: Cross multiply
    1,317.09x = 1,974.73 × 797.23
  4. Step 4: Simplify right side
    1,317.09x = 1,574,304.86
  5. Step 5: Solve for x
    x = 1,574,304.86/1,317.09
  6. Step 6: Final answer
    x = 1,195.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.