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Finding the Fourth Proportional to 689.63, 1,033.62 and 319.37

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Solution

The fourth proportional to 689.63, 1,033.62 and 319.37 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.63 : 1,033.62 = 319.37 : x
  2. Step 2: Convert to fraction form
    689.63/1,033.62 = 319.37/x
  3. Step 3: Cross multiply
    689.63x = 1,033.62 × 319.37
  4. Step 4: Simplify right side
    689.63x = 330,107.22
  5. Step 5: Solve for x
    x = 330,107.22/689.63
  6. Step 6: Final answer
    x = 478.67

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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.