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Finding the Fourth Proportional to 1,309.68, 1,964.53 and 850.42

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Solution

The fourth proportional to 1,309.68, 1,964.53 and 850.42 is: 1,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.68 : 1,964.53 = 850.42 : x
  2. Step 2: Convert to fraction form
    1,309.68/1,964.53 = 850.42/x
  3. Step 3: Cross multiply
    1,309.68x = 1,964.53 × 850.42
  4. Step 4: Simplify right side
    1,309.68x = 1,670,675.60
  5. Step 5: Solve for x
    x = 1,670,675.60/1,309.68
  6. Step 6: Final answer
    x = 1,275.64

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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.