Home / 1,269.26-1,904.49-576.14

Finding the Fourth Proportional to 1,269.26, 1,904.49 and 576.14

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Solution

The fourth proportional to 1,269.26, 1,904.49 and 576.14 is: 864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.26 : 1,904.49 = 576.14 : x
  2. Step 2: Convert to fraction form
    1,269.26/1,904.49 = 576.14/x
  3. Step 3: Cross multiply
    1,269.26x = 1,904.49 × 576.14
  4. Step 4: Simplify right side
    1,269.26x = 1,097,243.35
  5. Step 5: Solve for x
    x = 1,097,243.35/1,269.26
  6. Step 6: Final answer
    x = 864.48

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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.