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Finding the Fourth Proportional to 815.52, 1,223.26 and 467.78

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Solution

The fourth proportional to 815.52, 1,223.26 and 467.78 is: 701.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.52 : 1,223.26 = 467.78 : x
  2. Step 2: Convert to fraction form
    815.52/1,223.26 = 467.78/x
  3. Step 3: Cross multiply
    815.52x = 1,223.26 × 467.78
  4. Step 4: Simplify right side
    815.52x = 572,216.56
  5. Step 5: Solve for x
    x = 572,216.56/815.52
  6. Step 6: Final answer
    x = 701.66

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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.