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Finding the Fourth Proportional to 599.81, 901.13 and 523.26

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Solution

The fourth proportional to 599.81, 901.13 and 523.26 is: 786.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.81 : 901.13 = 523.26 : x
  2. Step 2: Convert to fraction form
    599.81/901.13 = 523.26/x
  3. Step 3: Cross multiply
    599.81x = 901.13 × 523.26
  4. Step 4: Simplify right side
    599.81x = 471,522.67
  5. Step 5: Solve for x
    x = 471,522.67/599.81
  6. Step 6: Final answer
    x = 786.13

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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.