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Finding the Fourth Proportional to 1,374.47, 1,896.92 and 850.50

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Solution

The fourth proportional to 1,374.47, 1,896.92 and 850.50 is: 1,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.47 : 1,896.92 = 850.50 : x
  2. Step 2: Convert to fraction form
    1,374.47/1,896.92 = 850.50/x
  3. Step 3: Cross multiply
    1,374.47x = 1,896.92 × 850.50
  4. Step 4: Simplify right side
    1,374.47x = 1,613,329.40
  5. Step 5: Solve for x
    x = 1,613,329.40/1,374.47
  6. Step 6: Final answer
    x = 1,173.78

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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.