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Finding the Fourth Proportional to 1,004.32, 1,375.94 and 965.44

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Solution

The fourth proportional to 1,004.32, 1,375.94 and 965.44 is: 1,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.32 : 1,375.94 = 965.44 : x
  2. Step 2: Convert to fraction form
    1,004.32/1,375.94 = 965.44/x
  3. Step 3: Cross multiply
    1,004.32x = 1,375.94 × 965.44
  4. Step 4: Simplify right side
    1,004.32x = 1,328,387.51
  5. Step 5: Solve for x
    x = 1,328,387.51/1,004.32
  6. Step 6: Final answer
    x = 1,322.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.