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Finding the Fourth Proportional to 1,091.78, 1,636.26 and 506.72

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Solution

The fourth proportional to 1,091.78, 1,636.26 and 506.72 is: 759.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.78 : 1,636.26 = 506.72 : x
  2. Step 2: Convert to fraction form
    1,091.78/1,636.26 = 506.72/x
  3. Step 3: Cross multiply
    1,091.78x = 1,636.26 × 506.72
  4. Step 4: Simplify right side
    1,091.78x = 829,125.67
  5. Step 5: Solve for x
    x = 829,125.67/1,091.78
  6. Step 6: Final answer
    x = 759.43

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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.