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Finding the Fourth Proportional to 704.92, 970.56 and 599.80

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Solution

The fourth proportional to 704.92, 970.56 and 599.80 is: 825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.92 : 970.56 = 599.80 : x
  2. Step 2: Convert to fraction form
    704.92/970.56 = 599.80/x
  3. Step 3: Cross multiply
    704.92x = 970.56 × 599.80
  4. Step 4: Simplify right side
    704.92x = 582,141.89
  5. Step 5: Solve for x
    x = 582,141.89/704.92
  6. Step 6: Final answer
    x = 825.83

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