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Finding the Fourth Proportional to 1,296.54, 1,945.11 and 474.83

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Solution

The fourth proportional to 1,296.54, 1,945.11 and 474.83 is: 712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.54 : 1,945.11 = 474.83 : x
  2. Step 2: Convert to fraction form
    1,296.54/1,945.11 = 474.83/x
  3. Step 3: Cross multiply
    1,296.54x = 1,945.11 × 474.83
  4. Step 4: Simplify right side
    1,296.54x = 923,586.86
  5. Step 5: Solve for x
    x = 923,586.86/1,296.54
  6. Step 6: Final answer
    x = 712.35

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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.