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Finding the Fourth Proportional to 1,164.36, 1,744.54 and 839.08

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Solution

The fourth proportional to 1,164.36, 1,744.54 and 839.08 is: 1,257.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.36 : 1,744.54 = 839.08 : x
  2. Step 2: Convert to fraction form
    1,164.36/1,744.54 = 839.08/x
  3. Step 3: Cross multiply
    1,164.36x = 1,744.54 × 839.08
  4. Step 4: Simplify right side
    1,164.36x = 1,463,808.62
  5. Step 5: Solve for x
    x = 1,463,808.62/1,164.36
  6. Step 6: Final answer
    x = 1,257.18

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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.