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Finding the Fourth Proportional to 741.01, 1,022.62 and 426.23

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Solution

The fourth proportional to 741.01, 1,022.62 and 426.23 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.01 : 1,022.62 = 426.23 : x
  2. Step 2: Convert to fraction form
    741.01/1,022.62 = 426.23/x
  3. Step 3: Cross multiply
    741.01x = 1,022.62 × 426.23
  4. Step 4: Simplify right side
    741.01x = 435,871.32
  5. Step 5: Solve for x
    x = 435,871.32/741.01
  6. Step 6: Final answer
    x = 588.21

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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.