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Finding the Fourth Proportional to 601.03, 900.42 and 523.07

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Solution

The fourth proportional to 601.03, 900.42 and 523.07 is: 783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.03 : 900.42 = 523.07 : x
  2. Step 2: Convert to fraction form
    601.03/900.42 = 523.07/x
  3. Step 3: Cross multiply
    601.03x = 900.42 × 523.07
  4. Step 4: Simplify right side
    601.03x = 470,982.69
  5. Step 5: Solve for x
    x = 470,982.69/601.03
  6. Step 6: Final answer
    x = 783.63

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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.