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Finding the Fourth Proportional to 1,426.36, 1,968.45 and 837.08

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Solution

The fourth proportional to 1,426.36, 1,968.45 and 837.08 is: 1,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.36 : 1,968.45 = 837.08 : x
  2. Step 2: Convert to fraction form
    1,426.36/1,968.45 = 837.08/x
  3. Step 3: Cross multiply
    1,426.36x = 1,968.45 × 837.08
  4. Step 4: Simplify right side
    1,426.36x = 1,647,760.31
  5. Step 5: Solve for x
    x = 1,647,760.31/1,426.36
  6. Step 6: Final answer
    x = 1,155.22

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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.