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Finding the Fourth Proportional to 1,298.09, 1,945.34 and 712.38

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Solution

The fourth proportional to 1,298.09, 1,945.34 and 712.38 is: 1,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.09 : 1,945.34 = 712.38 : x
  2. Step 2: Convert to fraction form
    1,298.09/1,945.34 = 712.38/x
  3. Step 3: Cross multiply
    1,298.09x = 1,945.34 × 712.38
  4. Step 4: Simplify right side
    1,298.09x = 1,385,817.75
  5. Step 5: Solve for x
    x = 1,385,817.75/1,298.09
  6. Step 6: Final answer
    x = 1,067.59

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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.