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Finding the Fourth Proportional to 828.50, 1,242.84 and 315.50

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Solution

The fourth proportional to 828.50, 1,242.84 and 315.50 is: 473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.50 : 1,242.84 = 315.50 : x
  2. Step 2: Convert to fraction form
    828.50/1,242.84 = 315.50/x
  3. Step 3: Cross multiply
    828.50x = 1,242.84 × 315.50
  4. Step 4: Simplify right side
    828.50x = 392,116.02
  5. Step 5: Solve for x
    x = 392,116.02/828.50
  6. Step 6: Final answer
    x = 473.28

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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.