Home / 1,112.85-1,669.66-419.72

Finding the Fourth Proportional to 1,112.85, 1,669.66 and 419.72

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Solution

The fourth proportional to 1,112.85, 1,669.66 and 419.72 is: 629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.85 : 1,669.66 = 419.72 : x
  2. Step 2: Convert to fraction form
    1,112.85/1,669.66 = 419.72/x
  3. Step 3: Cross multiply
    1,112.85x = 1,669.66 × 419.72
  4. Step 4: Simplify right side
    1,112.85x = 700,780.30
  5. Step 5: Solve for x
    x = 700,780.30/1,112.85
  6. Step 6: Final answer
    x = 629.72

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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.