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Finding the Fourth Proportional to 741.39, 1,023.08 and 409.80

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Solution

The fourth proportional to 741.39, 1,023.08 and 409.80 is: 565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.39 : 1,023.08 = 409.80 : x
  2. Step 2: Convert to fraction form
    741.39/1,023.08 = 409.80/x
  3. Step 3: Cross multiply
    741.39x = 1,023.08 × 409.80
  4. Step 4: Simplify right side
    741.39x = 419,254.75
  5. Step 5: Solve for x
    x = 419,254.75/741.39
  6. Step 6: Final answer
    x = 565.50

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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.