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Finding the Fourth Proportional to 815.37, 1,223.45 and 522.97

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Solution

The fourth proportional to 815.37, 1,223.45 and 522.97 is: 784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.37 : 1,223.45 = 522.97 : x
  2. Step 2: Convert to fraction form
    815.37/1,223.45 = 522.97/x
  3. Step 3: Cross multiply
    815.37x = 1,223.45 × 522.97
  4. Step 4: Simplify right side
    815.37x = 639,823.93
  5. Step 5: Solve for x
    x = 639,823.93/815.37
  6. Step 6: Final answer
    x = 784.71

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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.