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Finding the Fourth Proportional to 601.72, 899.40 and 523.02

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Solution

The fourth proportional to 601.72, 899.40 and 523.02 is: 781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.72 : 899.40 = 523.02 : x
  2. Step 2: Convert to fraction form
    601.72/899.40 = 523.02/x
  3. Step 3: Cross multiply
    601.72x = 899.40 × 523.02
  4. Step 4: Simplify right side
    601.72x = 470,398.38
  5. Step 5: Solve for x
    x = 470,398.38/601.72
  6. Step 6: Final answer
    x = 781.76

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Why These Related Problems?

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