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Finding the Fourth Proportional to 513.35, 703.72 and 504.03

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Solution

The fourth proportional to 513.35, 703.72 and 504.03 is: 690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.35 : 703.72 = 504.03 : x
  2. Step 2: Convert to fraction form
    513.35/703.72 = 504.03/x
  3. Step 3: Cross multiply
    513.35x = 703.72 × 504.03
  4. Step 4: Simplify right side
    513.35x = 354,694.73
  5. Step 5: Solve for x
    x = 354,694.73/513.35
  6. Step 6: Final answer
    x = 690.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.