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Finding the Fourth Proportional to 727.92, 1,004.49 and 417.42

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Solution

The fourth proportional to 727.92, 1,004.49 and 417.42 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.92 : 1,004.49 = 417.42 : x
  2. Step 2: Convert to fraction form
    727.92/1,004.49 = 417.42/x
  3. Step 3: Cross multiply
    727.92x = 1,004.49 × 417.42
  4. Step 4: Simplify right side
    727.92x = 419,294.22
  5. Step 5: Solve for x
    x = 419,294.22/727.92
  6. Step 6: Final answer
    x = 576.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.