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Finding the Fourth Proportional to 828.98, 1,243.60 and 342.06

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Solution

The fourth proportional to 828.98, 1,243.60 and 342.06 is: 513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.98 : 1,243.60 = 342.06 : x
  2. Step 2: Convert to fraction form
    828.98/1,243.60 = 342.06/x
  3. Step 3: Cross multiply
    828.98x = 1,243.60 × 342.06
  4. Step 4: Simplify right side
    828.98x = 425,385.82
  5. Step 5: Solve for x
    x = 425,385.82/828.98
  6. Step 6: Final answer
    x = 513.14

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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.