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Finding the Fourth Proportional to 796.03, 1,190.49 and 598.52

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Solution

The fourth proportional to 796.03, 1,190.49 and 598.52 is: 895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.03 : 1,190.49 = 598.52 : x
  2. Step 2: Convert to fraction form
    796.03/1,190.49 = 598.52/x
  3. Step 3: Cross multiply
    796.03x = 1,190.49 × 598.52
  4. Step 4: Simplify right side
    796.03x = 712,532.07
  5. Step 5: Solve for x
    x = 712,532.07/796.03
  6. Step 6: Final answer
    x = 895.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.