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Finding the Fourth Proportional to 839.04, 1,157.13 and 523.68

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Solution

The fourth proportional to 839.04, 1,157.13 and 523.68 is: 722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.04 : 1,157.13 = 523.68 : x
  2. Step 2: Convert to fraction form
    839.04/1,157.13 = 523.68/x
  3. Step 3: Cross multiply
    839.04x = 1,157.13 × 523.68
  4. Step 4: Simplify right side
    839.04x = 605,965.84
  5. Step 5: Solve for x
    x = 605,965.84/839.04
  6. Step 6: Final answer
    x = 722.21

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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.