Home / 1,094-1,629.26-1,064.84

Finding the Fourth Proportional to 1,094, 1,629.26 and 1,064.84

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Solution

The fourth proportional to 1,094, 1,629.26 and 1,064.84 is: 1,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094 : 1,629.26 = 1,064.84 : x
  2. Step 2: Convert to fraction form
    1,094/1,629.26 = 1,064.84/x
  3. Step 3: Cross multiply
    1,094x = 1,629.26 × 1,064.84
  4. Step 4: Simplify right side
    1,094x = 1,734,901.22
  5. Step 5: Solve for x
    x = 1,734,901.22/1,094
  6. Step 6: Final answer
    x = 1,585.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.