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Finding the Fourth Proportional to 727.10, 1,090.48 and 264.93

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Solution

The fourth proportional to 727.10, 1,090.48 and 264.93 is: 397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.10 : 1,090.48 = 264.93 : x
  2. Step 2: Convert to fraction form
    727.10/1,090.48 = 264.93/x
  3. Step 3: Cross multiply
    727.10x = 1,090.48 × 264.93
  4. Step 4: Simplify right side
    727.10x = 288,900.87
  5. Step 5: Solve for x
    x = 288,900.87/727.10
  6. Step 6: Final answer
    x = 397.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.