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Finding the Fourth Proportional to 599.73, 825.80 and 511.04

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Solution

The fourth proportional to 599.73, 825.80 and 511.04 is: 703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.73 : 825.80 = 511.04 : x
  2. Step 2: Convert to fraction form
    599.73/825.80 = 511.04/x
  3. Step 3: Cross multiply
    599.73x = 825.80 × 511.04
  4. Step 4: Simplify right side
    599.73x = 422,010.15
  5. Step 5: Solve for x
    x = 422,010.15/599.73
  6. Step 6: Final answer
    x = 703.67

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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.