Home / 1,107.04-1,659.32-985.54

Finding the Fourth Proportional to 1,107.04, 1,659.32 and 985.54

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Solution

The fourth proportional to 1,107.04, 1,659.32 and 985.54 is: 1,477.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.04 : 1,659.32 = 985.54 : x
  2. Step 2: Convert to fraction form
    1,107.04/1,659.32 = 985.54/x
  3. Step 3: Cross multiply
    1,107.04x = 1,659.32 × 985.54
  4. Step 4: Simplify right side
    1,107.04x = 1,635,326.23
  5. Step 5: Solve for x
    x = 1,635,326.23/1,107.04
  6. Step 6: Final answer
    x = 1,477.21

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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.