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Finding the Fourth Proportional to 1,321.12, 1,982.88 and 705.35

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Solution

The fourth proportional to 1,321.12, 1,982.88 and 705.35 is: 1,058.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.12 : 1,982.88 = 705.35 : x
  2. Step 2: Convert to fraction form
    1,321.12/1,982.88 = 705.35/x
  3. Step 3: Cross multiply
    1,321.12x = 1,982.88 × 705.35
  4. Step 4: Simplify right side
    1,321.12x = 1,398,624.41
  5. Step 5: Solve for x
    x = 1,398,624.41/1,321.12
  6. Step 6: Final answer
    x = 1,058.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.