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Finding the Fourth Proportional to 1,296.86, 1,945.46 and 475.52

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Solution

The fourth proportional to 1,296.86, 1,945.46 and 475.52 is: 713.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.86 : 1,945.46 = 475.52 : x
  2. Step 2: Convert to fraction form
    1,296.86/1,945.46 = 475.52/x
  3. Step 3: Cross multiply
    1,296.86x = 1,945.46 × 475.52
  4. Step 4: Simplify right side
    1,296.86x = 925,105.14
  5. Step 5: Solve for x
    x = 925,105.14/1,296.86
  6. Step 6: Final answer
    x = 713.34

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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.