Home / 1,397.32-2,094.06-820.36

Finding the Fourth Proportional to 1,397.32, 2,094.06 and 820.36

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Solution

The fourth proportional to 1,397.32, 2,094.06 and 820.36 is: 1,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.32 : 2,094.06 = 820.36 : x
  2. Step 2: Convert to fraction form
    1,397.32/2,094.06 = 820.36/x
  3. Step 3: Cross multiply
    1,397.32x = 2,094.06 × 820.36
  4. Step 4: Simplify right side
    1,397.32x = 1,717,883.06
  5. Step 5: Solve for x
    x = 1,717,883.06/1,397.32
  6. Step 6: Final answer
    x = 1,229.41

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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.