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Finding the Fourth Proportional to 727.86, 1,004.49 and 448.11

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Solution

The fourth proportional to 727.86, 1,004.49 and 448.11 is: 618.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.86 : 1,004.49 = 448.11 : x
  2. Step 2: Convert to fraction form
    727.86/1,004.49 = 448.11/x
  3. Step 3: Cross multiply
    727.86x = 1,004.49 × 448.11
  4. Step 4: Simplify right side
    727.86x = 450,122.01
  5. Step 5: Solve for x
    x = 450,122.01/727.86
  6. Step 6: Final answer
    x = 618.42

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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.