Home / 1,110.30-1,664.12-492.68

Finding the Fourth Proportional to 1,110.30, 1,664.12 and 492.68

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Solution

The fourth proportional to 1,110.30, 1,664.12 and 492.68 is: 738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.30 : 1,664.12 = 492.68 : x
  2. Step 2: Convert to fraction form
    1,110.30/1,664.12 = 492.68/x
  3. Step 3: Cross multiply
    1,110.30x = 1,664.12 × 492.68
  4. Step 4: Simplify right side
    1,110.30x = 819,878.64
  5. Step 5: Solve for x
    x = 819,878.64/1,110.30
  6. Step 6: Final answer
    x = 738.43

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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.