Home / 1,204.42-1,662.38-1,007.60

Finding the Fourth Proportional to 1,204.42, 1,662.38 and 1,007.60

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Solution

The fourth proportional to 1,204.42, 1,662.38 and 1,007.60 is: 1,390.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.42 : 1,662.38 = 1,007.60 : x
  2. Step 2: Convert to fraction form
    1,204.42/1,662.38 = 1,007.60/x
  3. Step 3: Cross multiply
    1,204.42x = 1,662.38 × 1,007.60
  4. Step 4: Simplify right side
    1,204.42x = 1,675,014.09
  5. Step 5: Solve for x
    x = 1,675,014.09/1,204.42
  6. Step 6: Final answer
    x = 1,390.72

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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.