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Finding the Fourth Proportional to 713.56, 985.08 and 504.37

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Solution

The fourth proportional to 713.56, 985.08 and 504.37 is: 696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.56 : 985.08 = 504.37 : x
  2. Step 2: Convert to fraction form
    713.56/985.08 = 504.37/x
  3. Step 3: Cross multiply
    713.56x = 985.08 × 504.37
  4. Step 4: Simplify right side
    713.56x = 496,839.87
  5. Step 5: Solve for x
    x = 496,839.87/713.56
  6. Step 6: Final answer
    x = 696.29

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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.