Home / 1,022.17-1,531.11-848.44

Finding the Fourth Proportional to 1,022.17, 1,531.11 and 848.44

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Solution

The fourth proportional to 1,022.17, 1,531.11 and 848.44 is: 1,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.17 : 1,531.11 = 848.44 : x
  2. Step 2: Convert to fraction form
    1,022.17/1,531.11 = 848.44/x
  3. Step 3: Cross multiply
    1,022.17x = 1,531.11 × 848.44
  4. Step 4: Simplify right side
    1,022.17x = 1,299,054.97
  5. Step 5: Solve for x
    x = 1,299,054.97/1,022.17
  6. Step 6: Final answer
    x = 1,270.88

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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.