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Finding the Fourth Proportional to 959.36, 1,323.36 and 609.44

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Solution

The fourth proportional to 959.36, 1,323.36 and 609.44 is: 840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.36 : 1,323.36 = 609.44 : x
  2. Step 2: Convert to fraction form
    959.36/1,323.36 = 609.44/x
  3. Step 3: Cross multiply
    959.36x = 1,323.36 × 609.44
  4. Step 4: Simplify right side
    959.36x = 806,508.52
  5. Step 5: Solve for x
    x = 806,508.52/959.36
  6. Step 6: Final answer
    x = 840.67

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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.