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Finding the Fourth Proportional to 828.34, 1,241.55 and 340.78

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Solution

The fourth proportional to 828.34, 1,241.55 and 340.78 is: 510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.34 : 1,241.55 = 340.78 : x
  2. Step 2: Convert to fraction form
    828.34/1,241.55 = 340.78/x
  3. Step 3: Cross multiply
    828.34x = 1,241.55 × 340.78
  4. Step 4: Simplify right side
    828.34x = 423,095.41
  5. Step 5: Solve for x
    x = 423,095.41/828.34
  6. Step 6: Final answer
    x = 510.78

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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.