Home / 1,099.03-1,515.52-942.20

Finding the Fourth Proportional to 1,099.03, 1,515.52 and 942.20

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Solution

The fourth proportional to 1,099.03, 1,515.52 and 942.20 is: 1,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.03 : 1,515.52 = 942.20 : x
  2. Step 2: Convert to fraction form
    1,099.03/1,515.52 = 942.20/x
  3. Step 3: Cross multiply
    1,099.03x = 1,515.52 × 942.20
  4. Step 4: Simplify right side
    1,099.03x = 1,427,927.91
  5. Step 5: Solve for x
    x = 1,427,927.91/1,099.03
  6. Step 6: Final answer
    x = 1,299.26

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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.