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Finding the Fourth Proportional to 727.95, 1,005.09 and 448.56

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Solution

The fourth proportional to 727.95, 1,005.09 and 448.56 is: 619.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.95 : 1,005.09 = 448.56 : x
  2. Step 2: Convert to fraction form
    727.95/1,005.09 = 448.56/x
  3. Step 3: Cross multiply
    727.95x = 1,005.09 × 448.56
  4. Step 4: Simplify right side
    727.95x = 450,843.17
  5. Step 5: Solve for x
    x = 450,843.17/727.95
  6. Step 6: Final answer
    x = 619.33

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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.