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Finding the Fourth Proportional to 1,418.35, 1,957.26 and 797.35

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Solution

The fourth proportional to 1,418.35, 1,957.26 and 797.35 is: 1,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.35 : 1,957.26 = 797.35 : x
  2. Step 2: Convert to fraction form
    1,418.35/1,957.26 = 797.35/x
  3. Step 3: Cross multiply
    1,418.35x = 1,957.26 × 797.35
  4. Step 4: Simplify right side
    1,418.35x = 1,560,621.26
  5. Step 5: Solve for x
    x = 1,560,621.26/1,418.35
  6. Step 6: Final answer
    x = 1,100.31

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Why These Related Problems?

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