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Finding the Fourth Proportional to 1,097.86, 1,644.94 and 772.54

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Solution

The fourth proportional to 1,097.86, 1,644.94 and 772.54 is: 1,157.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.86 : 1,644.94 = 772.54 : x
  2. Step 2: Convert to fraction form
    1,097.86/1,644.94 = 772.54/x
  3. Step 3: Cross multiply
    1,097.86x = 1,644.94 × 772.54
  4. Step 4: Simplify right side
    1,097.86x = 1,270,781.95
  5. Step 5: Solve for x
    x = 1,270,781.95/1,097.86
  6. Step 6: Final answer
    x = 1,157.51

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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.