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Finding the Fourth Proportional to 828.95, 1,243.90 and 309.32

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Solution

The fourth proportional to 828.95, 1,243.90 and 309.32 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.95 : 1,243.90 = 309.32 : x
  2. Step 2: Convert to fraction form
    828.95/1,243.90 = 309.32/x
  3. Step 3: Cross multiply
    828.95x = 1,243.90 × 309.32
  4. Step 4: Simplify right side
    828.95x = 384,763.15
  5. Step 5: Solve for x
    x = 384,763.15/828.95
  6. Step 6: Final answer
    x = 464.16

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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.