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Finding the Fourth Proportional to 727.24, 1,003.74 and 478.96

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Solution

The fourth proportional to 727.24, 1,003.74 and 478.96 is: 661.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.24 : 1,003.74 = 478.96 : x
  2. Step 2: Convert to fraction form
    727.24/1,003.74 = 478.96/x
  3. Step 3: Cross multiply
    727.24x = 1,003.74 × 478.96
  4. Step 4: Simplify right side
    727.24x = 480,751.31
  5. Step 5: Solve for x
    x = 480,751.31/727.24
  6. Step 6: Final answer
    x = 661.06

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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.