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Finding the Fourth Proportional to 1,321.68, 1,981.93 and 705.27

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Solution

The fourth proportional to 1,321.68, 1,981.93 and 705.27 is: 1,057.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.68 : 1,981.93 = 705.27 : x
  2. Step 2: Convert to fraction form
    1,321.68/1,981.93 = 705.27/x
  3. Step 3: Cross multiply
    1,321.68x = 1,981.93 × 705.27
  4. Step 4: Simplify right side
    1,321.68x = 1,397,795.77
  5. Step 5: Solve for x
    x = 1,397,795.77/1,321.68
  6. Step 6: Final answer
    x = 1,057.59

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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.