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Finding the Fourth Proportional to 727.63, 1,090 and 343.15

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Solution

The fourth proportional to 727.63, 1,090 and 343.15 is: 514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.63 : 1,090 = 343.15 : x
  2. Step 2: Convert to fraction form
    727.63/1,090 = 343.15/x
  3. Step 3: Cross multiply
    727.63x = 1,090 × 343.15
  4. Step 4: Simplify right side
    727.63x = 374,033.50
  5. Step 5: Solve for x
    x = 374,033.50/727.63
  6. Step 6: Final answer
    x = 514.04

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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.