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Finding the Fourth Proportional to 600.87, 829.29 and 563.81

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Solution

The fourth proportional to 600.87, 829.29 and 563.81 is: 778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.87 : 829.29 = 563.81 : x
  2. Step 2: Convert to fraction form
    600.87/829.29 = 563.81/x
  3. Step 3: Cross multiply
    600.87x = 829.29 × 563.81
  4. Step 4: Simplify right side
    600.87x = 467,561.99
  5. Step 5: Solve for x
    x = 467,561.99/600.87
  6. Step 6: Final answer
    x = 778.14

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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.