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Finding the Fourth Proportional to 727.56, 1,004.03 and 506.63

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Solution

The fourth proportional to 727.56, 1,004.03 and 506.63 is: 699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.56 : 1,004.03 = 506.63 : x
  2. Step 2: Convert to fraction form
    727.56/1,004.03 = 506.63/x
  3. Step 3: Cross multiply
    727.56x = 1,004.03 × 506.63
  4. Step 4: Simplify right side
    727.56x = 508,673.60
  5. Step 5: Solve for x
    x = 508,673.60/727.56
  6. Step 6: Final answer
    x = 699.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.