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Finding the Fourth Proportional to 1,321.33, 1,981.94 and 334.15

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Solution

The fourth proportional to 1,321.33, 1,981.94 and 334.15 is: 501.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.33 : 1,981.94 = 334.15 : x
  2. Step 2: Convert to fraction form
    1,321.33/1,981.94 = 334.15/x
  3. Step 3: Cross multiply
    1,321.33x = 1,981.94 × 334.15
  4. Step 4: Simplify right side
    1,321.33x = 662,265.25
  5. Step 5: Solve for x
    x = 662,265.25/1,321.33
  6. Step 6: Final answer
    x = 501.21

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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.