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Finding the Fourth Proportional to 599.48, 825.60 and 562.44

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Solution

The fourth proportional to 599.48, 825.60 and 562.44 is: 774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.48 : 825.60 = 562.44 : x
  2. Step 2: Convert to fraction form
    599.48/825.60 = 562.44/x
  3. Step 3: Cross multiply
    599.48x = 825.60 × 562.44
  4. Step 4: Simplify right side
    599.48x = 464,350.46
  5. Step 5: Solve for x
    x = 464,350.46/599.48
  6. Step 6: Final answer
    x = 774.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.