Home / 1,004.20-1,513.82-937.30

Finding the Fourth Proportional to 1,004.20, 1,513.82 and 937.30

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Solution

The fourth proportional to 1,004.20, 1,513.82 and 937.30 is: 1,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.20 : 1,513.82 = 937.30 : x
  2. Step 2: Convert to fraction form
    1,004.20/1,513.82 = 937.30/x
  3. Step 3: Cross multiply
    1,004.20x = 1,513.82 × 937.30
  4. Step 4: Simplify right side
    1,004.20x = 1,418,903.49
  5. Step 5: Solve for x
    x = 1,418,903.49/1,004.20
  6. Step 6: Final answer
    x = 1,412.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.