Home / 1,296.50-1,945.01-419.13

Finding the Fourth Proportional to 1,296.50, 1,945.01 and 419.13

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Solution

The fourth proportional to 1,296.50, 1,945.01 and 419.13 is: 628.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.50 : 1,945.01 = 419.13 : x
  2. Step 2: Convert to fraction form
    1,296.50/1,945.01 = 419.13/x
  3. Step 3: Cross multiply
    1,296.50x = 1,945.01 × 419.13
  4. Step 4: Simplify right side
    1,296.50x = 815,209.95
  5. Step 5: Solve for x
    x = 815,209.95/1,296.50
  6. Step 6: Final answer
    x = 628.78

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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.