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Finding the Fourth Proportional to 727.68, 1,003.80 and 506.28

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Solution

The fourth proportional to 727.68, 1,003.80 and 506.28 is: 698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.68 : 1,003.80 = 506.28 : x
  2. Step 2: Convert to fraction form
    727.68/1,003.80 = 506.28/x
  3. Step 3: Cross multiply
    727.68x = 1,003.80 × 506.28
  4. Step 4: Simplify right side
    727.68x = 508,203.86
  5. Step 5: Solve for x
    x = 508,203.86/727.68
  6. Step 6: Final answer
    x = 698.39

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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.