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Finding the Fourth Proportional to 1,097.10, 1,645.59 and 773.88

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Solution

The fourth proportional to 1,097.10, 1,645.59 and 773.88 is: 1,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.10 : 1,645.59 = 773.88 : x
  2. Step 2: Convert to fraction form
    1,097.10/1,645.59 = 773.88/x
  3. Step 3: Cross multiply
    1,097.10x = 1,645.59 × 773.88
  4. Step 4: Simplify right side
    1,097.10x = 1,273,489.19
  5. Step 5: Solve for x
    x = 1,273,489.19/1,097.10
  6. Step 6: Final answer
    x = 1,160.78

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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.