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Finding the Fourth Proportional to 599.82, 899.73 and 583.62

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Solution

The fourth proportional to 599.82, 899.73 and 583.62 is: 875.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.82 : 899.73 = 583.62 : x
  2. Step 2: Convert to fraction form
    599.82/899.73 = 583.62/x
  3. Step 3: Cross multiply
    599.82x = 899.73 × 583.62
  4. Step 4: Simplify right side
    599.82x = 525,100.42
  5. Step 5: Solve for x
    x = 525,100.42/599.82
  6. Step 6: Final answer
    x = 875.43

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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.