Home / 1,090.03-1,634.90-465.59

Finding the Fourth Proportional to 1,090.03, 1,634.90 and 465.59

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Solution

The fourth proportional to 1,090.03, 1,634.90 and 465.59 is: 698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.03 : 1,634.90 = 465.59 : x
  2. Step 2: Convert to fraction form
    1,090.03/1,634.90 = 465.59/x
  3. Step 3: Cross multiply
    1,090.03x = 1,634.90 × 465.59
  4. Step 4: Simplify right side
    1,090.03x = 761,184.01
  5. Step 5: Solve for x
    x = 761,184.01/1,090.03
  6. Step 6: Final answer
    x = 698.31

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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.