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Finding the Fourth Proportional to 599.67, 894.24 and 585.09

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Solution

The fourth proportional to 599.67, 894.24 and 585.09 is: 872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.67 : 894.24 = 585.09 : x
  2. Step 2: Convert to fraction form
    599.67/894.24 = 585.09/x
  3. Step 3: Cross multiply
    599.67x = 894.24 × 585.09
  4. Step 4: Simplify right side
    599.67x = 523,210.88
  5. Step 5: Solve for x
    x = 523,210.88/599.67
  6. Step 6: Final answer
    x = 872.50

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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.