Home / 1,112.89-1,669.13-409.96

Finding the Fourth Proportional to 1,112.89, 1,669.13 and 409.96

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Solution

The fourth proportional to 1,112.89, 1,669.13 and 409.96 is: 614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.89 : 1,669.13 = 409.96 : x
  2. Step 2: Convert to fraction form
    1,112.89/1,669.13 = 409.96/x
  3. Step 3: Cross multiply
    1,112.89x = 1,669.13 × 409.96
  4. Step 4: Simplify right side
    1,112.89x = 684,268.19
  5. Step 5: Solve for x
    x = 684,268.19/1,112.89
  6. Step 6: Final answer
    x = 614.86

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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.