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Finding the Fourth Proportional to 603.89, 827.93 and 592.95

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Solution

The fourth proportional to 603.89, 827.93 and 592.95 is: 812.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.89 : 827.93 = 592.95 : x
  2. Step 2: Convert to fraction form
    603.89/827.93 = 592.95/x
  3. Step 3: Cross multiply
    603.89x = 827.93 × 592.95
  4. Step 4: Simplify right side
    603.89x = 490,921.09
  5. Step 5: Solve for x
    x = 490,921.09/603.89
  6. Step 6: Final answer
    x = 812.94

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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.