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Finding the Fourth Proportional to 1,321.52, 1,980.25 and 705.31

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Solution

The fourth proportional to 1,321.52, 1,980.25 and 705.31 is: 1,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.52 : 1,980.25 = 705.31 : x
  2. Step 2: Convert to fraction form
    1,321.52/1,980.25 = 705.31/x
  3. Step 3: Cross multiply
    1,321.52x = 1,980.25 × 705.31
  4. Step 4: Simplify right side
    1,321.52x = 1,396,683.41
  5. Step 5: Solve for x
    x = 1,396,683.41/1,321.52
  6. Step 6: Final answer
    x = 1,056.88

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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.