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Finding the Fourth Proportional to 598.53, 827.73 and 524.70

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Solution

The fourth proportional to 598.53, 827.73 and 524.70 is: 725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.53 : 827.73 = 524.70 : x
  2. Step 2: Convert to fraction form
    598.53/827.73 = 524.70/x
  3. Step 3: Cross multiply
    598.53x = 827.73 × 524.70
  4. Step 4: Simplify right side
    598.53x = 434,309.93
  5. Step 5: Solve for x
    x = 434,309.93/598.53
  6. Step 6: Final answer
    x = 725.63

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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.