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Finding the Fourth Proportional to 727.83, 1,004.04 and 448.02

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Solution

The fourth proportional to 727.83, 1,004.04 and 448.02 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.83 : 1,004.04 = 448.02 : x
  2. Step 2: Convert to fraction form
    727.83/1,004.04 = 448.02/x
  3. Step 3: Cross multiply
    727.83x = 1,004.04 × 448.02
  4. Step 4: Simplify right side
    727.83x = 449,830.00
  5. Step 5: Solve for x
    x = 449,830.00/727.83
  6. Step 6: Final answer
    x = 618.04

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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.