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Finding the Fourth Proportional to 988.12, 1,482.21 and 757.43

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Solution

The fourth proportional to 988.12, 1,482.21 and 757.43 is: 1,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.12 : 1,482.21 = 757.43 : x
  2. Step 2: Convert to fraction form
    988.12/1,482.21 = 757.43/x
  3. Step 3: Cross multiply
    988.12x = 1,482.21 × 757.43
  4. Step 4: Simplify right side
    988.12x = 1,122,670.32
  5. Step 5: Solve for x
    x = 1,122,670.32/988.12
  6. Step 6: Final answer
    x = 1,136.17

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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.