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Finding the Fourth Proportional to 600.56, 894.93 and 580.98

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Solution

The fourth proportional to 600.56, 894.93 and 580.98 is: 865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.56 : 894.93 = 580.98 : x
  2. Step 2: Convert to fraction form
    600.56/894.93 = 580.98/x
  3. Step 3: Cross multiply
    600.56x = 894.93 × 580.98
  4. Step 4: Simplify right side
    600.56x = 519,936.43
  5. Step 5: Solve for x
    x = 519,936.43/600.56
  6. Step 6: Final answer
    x = 865.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.