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Finding the Fourth Proportional to 827.80, 1,239.94 and 553.84

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Solution

The fourth proportional to 827.80, 1,239.94 and 553.84 is: 829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.80 : 1,239.94 = 553.84 : x
  2. Step 2: Convert to fraction form
    827.80/1,239.94 = 553.84/x
  3. Step 3: Cross multiply
    827.80x = 1,239.94 × 553.84
  4. Step 4: Simplify right side
    827.80x = 686,728.37
  5. Step 5: Solve for x
    x = 686,728.37/827.80
  6. Step 6: Final answer
    x = 829.58

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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.