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Finding the Fourth Proportional to 1,297.03, 1,943.26 and 809.35

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Solution

The fourth proportional to 1,297.03, 1,943.26 and 809.35 is: 1,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.03 : 1,943.26 = 809.35 : x
  2. Step 2: Convert to fraction form
    1,297.03/1,943.26 = 809.35/x
  3. Step 3: Cross multiply
    1,297.03x = 1,943.26 × 809.35
  4. Step 4: Simplify right side
    1,297.03x = 1,572,777.48
  5. Step 5: Solve for x
    x = 1,572,777.48/1,297.03
  6. Step 6: Final answer
    x = 1,212.60

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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.