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Finding the Fourth Proportional to 599.73, 899.69 and 522.14

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Solution

The fourth proportional to 599.73, 899.69 and 522.14 is: 783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.73 : 899.69 = 522.14 : x
  2. Step 2: Convert to fraction form
    599.73/899.69 = 522.14/x
  3. Step 3: Cross multiply
    599.73x = 899.69 × 522.14
  4. Step 4: Simplify right side
    599.73x = 469,757.03
  5. Step 5: Solve for x
    x = 469,757.03/599.73
  6. Step 6: Final answer
    x = 783.29

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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.