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Finding the Fourth Proportional to 727.04, 1,090.38 and 414.92

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Solution

The fourth proportional to 727.04, 1,090.38 and 414.92 is: 622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.04 : 1,090.38 = 414.92 : x
  2. Step 2: Convert to fraction form
    727.04/1,090.38 = 414.92/x
  3. Step 3: Cross multiply
    727.04x = 1,090.38 × 414.92
  4. Step 4: Simplify right side
    727.04x = 452,420.47
  5. Step 5: Solve for x
    x = 452,420.47/727.04
  6. Step 6: Final answer
    x = 622.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.