Home / 1,122.12-1,548.90-828.36

Finding the Fourth Proportional to 1,122.12, 1,548.90 and 828.36

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Solution

The fourth proportional to 1,122.12, 1,548.90 and 828.36 is: 1,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.12 : 1,548.90 = 828.36 : x
  2. Step 2: Convert to fraction form
    1,122.12/1,548.90 = 828.36/x
  3. Step 3: Cross multiply
    1,122.12x = 1,548.90 × 828.36
  4. Step 4: Simplify right side
    1,122.12x = 1,283,046.80
  5. Step 5: Solve for x
    x = 1,283,046.80/1,122.12
  6. Step 6: Final answer
    x = 1,143.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.