Home / 1,110.12-1,664.48-460.04

Finding the Fourth Proportional to 1,110.12, 1,664.48 and 460.04

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Solution

The fourth proportional to 1,110.12, 1,664.48 and 460.04 is: 689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.12 : 1,664.48 = 460.04 : x
  2. Step 2: Convert to fraction form
    1,110.12/1,664.48 = 460.04/x
  3. Step 3: Cross multiply
    1,110.12x = 1,664.48 × 460.04
  4. Step 4: Simplify right side
    1,110.12x = 765,727.38
  5. Step 5: Solve for x
    x = 765,727.38/1,110.12
  6. Step 6: Final answer
    x = 689.77

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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.