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Finding the Fourth Proportional to 1,321.84, 1,981.40 and 499.60

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Solution

The fourth proportional to 1,321.84, 1,981.40 and 499.60 is: 748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.84 : 1,981.40 = 499.60 : x
  2. Step 2: Convert to fraction form
    1,321.84/1,981.40 = 499.60/x
  3. Step 3: Cross multiply
    1,321.84x = 1,981.40 × 499.60
  4. Step 4: Simplify right side
    1,321.84x = 989,907.44
  5. Step 5: Solve for x
    x = 989,907.44/1,321.84
  6. Step 6: Final answer
    x = 748.89

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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.