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Finding the Fourth Proportional to 815.76, 1,223.97 and 450.52

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Solution

The fourth proportional to 815.76, 1,223.97 and 450.52 is: 675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,223.97 = 450.52 : x
  2. Step 2: Convert to fraction form
    815.76/1,223.97 = 450.52/x
  3. Step 3: Cross multiply
    815.76x = 1,223.97 × 450.52
  4. Step 4: Simplify right side
    815.76x = 551,422.96
  5. Step 5: Solve for x
    x = 551,422.96/815.76
  6. Step 6: Final answer
    x = 675.96

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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.