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Finding the Fourth Proportional to 1,299.05, 1,945.70 and 1,004.42

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Solution

The fourth proportional to 1,299.05, 1,945.70 and 1,004.42 is: 1,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.05 : 1,945.70 = 1,004.42 : x
  2. Step 2: Convert to fraction form
    1,299.05/1,945.70 = 1,004.42/x
  3. Step 3: Cross multiply
    1,299.05x = 1,945.70 × 1,004.42
  4. Step 4: Simplify right side
    1,299.05x = 1,954,285.24
  5. Step 5: Solve for x
    x = 1,954,285.24/1,299.05
  6. Step 6: Final answer
    x = 1,504.40

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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.