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Finding the Fourth Proportional to 727.94, 1,004.70 and 417.44

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Solution

The fourth proportional to 727.94, 1,004.70 and 417.44 is: 576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.94 : 1,004.70 = 417.44 : x
  2. Step 2: Convert to fraction form
    727.94/1,004.70 = 417.44/x
  3. Step 3: Cross multiply
    727.94x = 1,004.70 × 417.44
  4. Step 4: Simplify right side
    727.94x = 419,401.97
  5. Step 5: Solve for x
    x = 419,401.97/727.94
  6. Step 6: Final answer
    x = 576.15

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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.