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Finding the Fourth Proportional to 1,296.72, 1,945.08 and 475.02

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Solution

The fourth proportional to 1,296.72, 1,945.08 and 475.02 is: 712.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.72 : 1,945.08 = 475.02 : x
  2. Step 2: Convert to fraction form
    1,296.72/1,945.08 = 475.02/x
  3. Step 3: Cross multiply
    1,296.72x = 1,945.08 × 475.02
  4. Step 4: Simplify right side
    1,296.72x = 923,951.90
  5. Step 5: Solve for x
    x = 923,951.90/1,296.72
  6. Step 6: Final answer
    x = 712.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.