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Finding the Fourth Proportional to 985.98, 1,361.20 and 720.16

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Solution

The fourth proportional to 985.98, 1,361.20 and 720.16 is: 994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.98 : 1,361.20 = 720.16 : x
  2. Step 2: Convert to fraction form
    985.98/1,361.20 = 720.16/x
  3. Step 3: Cross multiply
    985.98x = 1,361.20 × 720.16
  4. Step 4: Simplify right side
    985.98x = 980,279.29
  5. Step 5: Solve for x
    x = 980,279.29/985.98
  6. Step 6: Final answer
    x = 994.22

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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.