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Finding the Fourth Proportional to 821.33, 1,230.35 and 626.52

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Solution

The fourth proportional to 821.33, 1,230.35 and 626.52 is: 938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.33 : 1,230.35 = 626.52 : x
  2. Step 2: Convert to fraction form
    821.33/1,230.35 = 626.52/x
  3. Step 3: Cross multiply
    821.33x = 1,230.35 × 626.52
  4. Step 4: Simplify right side
    821.33x = 770,835.75
  5. Step 5: Solve for x
    x = 770,835.75/821.33
  6. Step 6: Final answer
    x = 938.53

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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.