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Finding the Fourth Proportional to 1,184.64, 1,635.03 and 736.67

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Solution

The fourth proportional to 1,184.64, 1,635.03 and 736.67 is: 1,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.64 : 1,635.03 = 736.67 : x
  2. Step 2: Convert to fraction form
    1,184.64/1,635.03 = 736.67/x
  3. Step 3: Cross multiply
    1,184.64x = 1,635.03 × 736.67
  4. Step 4: Simplify right side
    1,184.64x = 1,204,469.37
  5. Step 5: Solve for x
    x = 1,204,469.37/1,184.64
  6. Step 6: Final answer
    x = 1,016.74

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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.