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Finding the Fourth Proportional to 604.56, 899.50 and 599.88

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Solution

The fourth proportional to 604.56, 899.50 and 599.88 is: 892.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 899.50 = 599.88 : x
  2. Step 2: Convert to fraction form
    604.56/899.50 = 599.88/x
  3. Step 3: Cross multiply
    604.56x = 899.50 × 599.88
  4. Step 4: Simplify right side
    604.56x = 539,592.06
  5. Step 5: Solve for x
    x = 539,592.06/604.56
  6. Step 6: Final answer
    x = 892.54

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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.