Home / 1,349.04-2,023.85-764.33

Finding the Fourth Proportional to 1,349.04, 2,023.85 and 764.33

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Solution

The fourth proportional to 1,349.04, 2,023.85 and 764.33 is: 1,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.04 : 2,023.85 = 764.33 : x
  2. Step 2: Convert to fraction form
    1,349.04/2,023.85 = 764.33/x
  3. Step 3: Cross multiply
    1,349.04x = 2,023.85 × 764.33
  4. Step 4: Simplify right side
    1,349.04x = 1,546,878.20
  5. Step 5: Solve for x
    x = 1,546,878.20/1,349.04
  6. Step 6: Final answer
    x = 1,146.65

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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.