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Finding the Fourth Proportional to 727.09, 1,003.42 and 428.29

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Solution

The fourth proportional to 727.09, 1,003.42 and 428.29 is: 591.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.09 : 1,003.42 = 428.29 : x
  2. Step 2: Convert to fraction form
    727.09/1,003.42 = 428.29/x
  3. Step 3: Cross multiply
    727.09x = 1,003.42 × 428.29
  4. Step 4: Simplify right side
    727.09x = 429,752.78
  5. Step 5: Solve for x
    x = 429,752.78/727.09
  6. Step 6: Final answer
    x = 591.06

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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.