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Finding the Fourth Proportional to 1,318.69, 1,976.29 and 701.06

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Solution

The fourth proportional to 1,318.69, 1,976.29 and 701.06 is: 1,050.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.69 : 1,976.29 = 701.06 : x
  2. Step 2: Convert to fraction form
    1,318.69/1,976.29 = 701.06/x
  3. Step 3: Cross multiply
    1,318.69x = 1,976.29 × 701.06
  4. Step 4: Simplify right side
    1,318.69x = 1,385,500.98
  5. Step 5: Solve for x
    x = 1,385,500.98/1,318.69
  6. Step 6: Final answer
    x = 1,050.67

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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.