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Finding the Fourth Proportional to 828.04, 1,239.70 and 633.83

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Solution

The fourth proportional to 828.04, 1,239.70 and 633.83 is: 948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.04 : 1,239.70 = 633.83 : x
  2. Step 2: Convert to fraction form
    828.04/1,239.70 = 633.83/x
  3. Step 3: Cross multiply
    828.04x = 1,239.70 × 633.83
  4. Step 4: Simplify right side
    828.04x = 785,759.86
  5. Step 5: Solve for x
    x = 785,759.86/828.04
  6. Step 6: Final answer
    x = 948.94

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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.