Home / 1,112.60-1,669.28-419.46

Finding the Fourth Proportional to 1,112.60, 1,669.28 and 419.46

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Solution

The fourth proportional to 1,112.60, 1,669.28 and 419.46 is: 629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.60 : 1,669.28 = 419.46 : x
  2. Step 2: Convert to fraction form
    1,112.60/1,669.28 = 419.46/x
  3. Step 3: Cross multiply
    1,112.60x = 1,669.28 × 419.46
  4. Step 4: Simplify right side
    1,112.60x = 700,203.40
  5. Step 5: Solve for x
    x = 700,203.40/1,112.60
  6. Step 6: Final answer
    x = 629.34

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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.