Home / 1,106.16-1,665.80-1,033.26

Finding the Fourth Proportional to 1,106.16, 1,665.80 and 1,033.26

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Solution

The fourth proportional to 1,106.16, 1,665.80 and 1,033.26 is: 1,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.16 : 1,665.80 = 1,033.26 : x
  2. Step 2: Convert to fraction form
    1,106.16/1,665.80 = 1,033.26/x
  3. Step 3: Cross multiply
    1,106.16x = 1,665.80 × 1,033.26
  4. Step 4: Simplify right side
    1,106.16x = 1,721,204.51
  5. Step 5: Solve for x
    x = 1,721,204.51/1,106.16
  6. Step 6: Final answer
    x = 1,556.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.