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Finding the Fourth Proportional to 600.06, 901 and 523.50

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Solution

The fourth proportional to 600.06, 901 and 523.50 is: 786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.06 : 901 = 523.50 : x
  2. Step 2: Convert to fraction form
    600.06/901 = 523.50/x
  3. Step 3: Cross multiply
    600.06x = 901 × 523.50
  4. Step 4: Simplify right side
    600.06x = 471,673.50
  5. Step 5: Solve for x
    x = 471,673.50/600.06
  6. Step 6: Final answer
    x = 786.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.