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Finding the Fourth Proportional to 815.38, 1,124.95 and 461.26

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Solution

The fourth proportional to 815.38, 1,124.95 and 461.26 is: 636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.38 : 1,124.95 = 461.26 : x
  2. Step 2: Convert to fraction form
    815.38/1,124.95 = 461.26/x
  3. Step 3: Cross multiply
    815.38x = 1,124.95 × 461.26
  4. Step 4: Simplify right side
    815.38x = 518,893.28
  5. Step 5: Solve for x
    x = 518,893.28/815.38
  6. Step 6: Final answer
    x = 636.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.