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Finding the Fourth Proportional to 600.98, 901.56 and 523.39

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Solution

The fourth proportional to 600.98, 901.56 and 523.39 is: 785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.98 : 901.56 = 523.39 : x
  2. Step 2: Convert to fraction form
    600.98/901.56 = 523.39/x
  3. Step 3: Cross multiply
    600.98x = 901.56 × 523.39
  4. Step 4: Simplify right side
    600.98x = 471,862.98
  5. Step 5: Solve for x
    x = 471,862.98/600.98
  6. Step 6: Final answer
    x = 785.16

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