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Finding the Fourth Proportional to 727.61, 1,004.62 and 448.22

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Solution

The fourth proportional to 727.61, 1,004.62 and 448.22 is: 618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.61 : 1,004.62 = 448.22 : x
  2. Step 2: Convert to fraction form
    727.61/1,004.62 = 448.22/x
  3. Step 3: Cross multiply
    727.61x = 1,004.62 × 448.22
  4. Step 4: Simplify right side
    727.61x = 450,290.78
  5. Step 5: Solve for x
    x = 450,290.78/727.61
  6. Step 6: Final answer
    x = 618.86

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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.