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Finding the Fourth Proportional to 727.46, 1,004.02 and 412.73

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Solution

The fourth proportional to 727.46, 1,004.02 and 412.73 is: 569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.46 : 1,004.02 = 412.73 : x
  2. Step 2: Convert to fraction form
    727.46/1,004.02 = 412.73/x
  3. Step 3: Cross multiply
    727.46x = 1,004.02 × 412.73
  4. Step 4: Simplify right side
    727.46x = 414,389.17
  5. Step 5: Solve for x
    x = 414,389.17/727.46
  6. Step 6: Final answer
    x = 569.64

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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.