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Finding the Fourth Proportional to 727.30, 1,003.66 and 506.68

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Solution

The fourth proportional to 727.30, 1,003.66 and 506.68 is: 699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.30 : 1,003.66 = 506.68 : x
  2. Step 2: Convert to fraction form
    727.30/1,003.66 = 506.68/x
  3. Step 3: Cross multiply
    727.30x = 1,003.66 × 506.68
  4. Step 4: Simplify right side
    727.30x = 508,534.45
  5. Step 5: Solve for x
    x = 508,534.45/727.30
  6. Step 6: Final answer
    x = 699.21

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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.