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Finding the Fourth Proportional to 1,323.07, 1,985.30 and 960.85

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Solution

The fourth proportional to 1,323.07, 1,985.30 and 960.85 is: 1,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.07 : 1,985.30 = 960.85 : x
  2. Step 2: Convert to fraction form
    1,323.07/1,985.30 = 960.85/x
  3. Step 3: Cross multiply
    1,323.07x = 1,985.30 × 960.85
  4. Step 4: Simplify right side
    1,323.07x = 1,907,575.51
  5. Step 5: Solve for x
    x = 1,907,575.51/1,323.07
  6. Step 6: Final answer
    x = 1,441.78

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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.