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Finding the Fourth Proportional to 727.02, 1,003.25 and 412.30

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Solution

The fourth proportional to 727.02, 1,003.25 and 412.30 is: 568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.02 : 1,003.25 = 412.30 : x
  2. Step 2: Convert to fraction form
    727.02/1,003.25 = 412.30/x
  3. Step 3: Cross multiply
    727.02x = 1,003.25 × 412.30
  4. Step 4: Simplify right side
    727.02x = 413,635.99
  5. Step 5: Solve for x
    x = 413,635.99/727.02
  6. Step 6: Final answer
    x = 568.95

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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.