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Finding the Fourth Proportional to 741.35, 1,023.07 and 409.77

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Solution

The fourth proportional to 741.35, 1,023.07 and 409.77 is: 565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.35 : 1,023.07 = 409.77 : x
  2. Step 2: Convert to fraction form
    741.35/1,023.07 = 409.77/x
  3. Step 3: Cross multiply
    741.35x = 1,023.07 × 409.77
  4. Step 4: Simplify right side
    741.35x = 419,223.39
  5. Step 5: Solve for x
    x = 419,223.39/741.35
  6. Step 6: Final answer
    x = 565.49

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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.