Home / 1,109.29-1,664.13-460.07

Finding the Fourth Proportional to 1,109.29, 1,664.13 and 460.07

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Solution

The fourth proportional to 1,109.29, 1,664.13 and 460.07 is: 690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.29 : 1,664.13 = 460.07 : x
  2. Step 2: Convert to fraction form
    1,109.29/1,664.13 = 460.07/x
  3. Step 3: Cross multiply
    1,109.29x = 1,664.13 × 460.07
  4. Step 4: Simplify right side
    1,109.29x = 765,616.29
  5. Step 5: Solve for x
    x = 765,616.29/1,109.29
  6. Step 6: Final answer
    x = 690.19

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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.