Home / 741.03-1,022.67-409.46

Finding the Fourth Proportional to 741.03, 1,022.67 and 409.46

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Solution

The fourth proportional to 741.03, 1,022.67 and 409.46 is: 565.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.03 : 1,022.67 = 409.46 : x
  2. Step 2: Convert to fraction form
    741.03/1,022.67 = 409.46/x
  3. Step 3: Cross multiply
    741.03x = 1,022.67 × 409.46
  4. Step 4: Simplify right side
    741.03x = 418,742.46
  5. Step 5: Solve for x
    x = 418,742.46/741.03
  6. Step 6: Final answer
    x = 565.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.