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Finding the Fourth Proportional to 1,269.37, 1,906.11 and 957.04

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Solution

The fourth proportional to 1,269.37, 1,906.11 and 957.04 is: 1,437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.37 : 1,906.11 = 957.04 : x
  2. Step 2: Convert to fraction form
    1,269.37/1,906.11 = 957.04/x
  3. Step 3: Cross multiply
    1,269.37x = 1,906.11 × 957.04
  4. Step 4: Simplify right side
    1,269.37x = 1,824,221.42
  5. Step 5: Solve for x
    x = 1,824,221.42/1,269.37
  6. Step 6: Final answer
    x = 1,437.11

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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.