Home / 1,109.40-1,664.48-493.54

Finding the Fourth Proportional to 1,109.40, 1,664.48 and 493.54

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Solution

The fourth proportional to 1,109.40, 1,664.48 and 493.54 is: 740.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.40 : 1,664.48 = 493.54 : x
  2. Step 2: Convert to fraction form
    1,109.40/1,664.48 = 493.54/x
  3. Step 3: Cross multiply
    1,109.40x = 1,664.48 × 493.54
  4. Step 4: Simplify right side
    1,109.40x = 821,487.46
  5. Step 5: Solve for x
    x = 821,487.46/1,109.40
  6. Step 6: Final answer
    x = 740.48

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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.