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Finding the Fourth Proportional to 828.63, 1,243.13 and 366.26

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Solution

The fourth proportional to 828.63, 1,243.13 and 366.26 is: 549.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.63 : 1,243.13 = 366.26 : x
  2. Step 2: Convert to fraction form
    828.63/1,243.13 = 366.26/x
  3. Step 3: Cross multiply
    828.63x = 1,243.13 × 366.26
  4. Step 4: Simplify right side
    828.63x = 455,300.75
  5. Step 5: Solve for x
    x = 455,300.75/828.63
  6. Step 6: Final answer
    x = 549.46

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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.