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Finding the Fourth Proportional to 1,138.85, 1,571.27 and 696.29

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Solution

The fourth proportional to 1,138.85, 1,571.27 and 696.29 is: 960.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.85 : 1,571.27 = 696.29 : x
  2. Step 2: Convert to fraction form
    1,138.85/1,571.27 = 696.29/x
  3. Step 3: Cross multiply
    1,138.85x = 1,571.27 × 696.29
  4. Step 4: Simplify right side
    1,138.85x = 1,094,065.26
  5. Step 5: Solve for x
    x = 1,094,065.26/1,138.85
  6. Step 6: Final answer
    x = 960.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.