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Finding the Fourth Proportional to 727.18, 1,090.50 and 264.83

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Solution

The fourth proportional to 727.18, 1,090.50 and 264.83 is: 397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.18 : 1,090.50 = 264.83 : x
  2. Step 2: Convert to fraction form
    727.18/1,090.50 = 264.83/x
  3. Step 3: Cross multiply
    727.18x = 1,090.50 × 264.83
  4. Step 4: Simplify right side
    727.18x = 288,797.12
  5. Step 5: Solve for x
    x = 288,797.12/727.18
  6. Step 6: Final answer
    x = 397.15

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Why These Related Problems?

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