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Finding the Fourth Proportional to 1,097.40, 1,643.49 and 634.22

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Solution

The fourth proportional to 1,097.40, 1,643.49 and 634.22 is: 949.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.40 : 1,643.49 = 634.22 : x
  2. Step 2: Convert to fraction form
    1,097.40/1,643.49 = 634.22/x
  3. Step 3: Cross multiply
    1,097.40x = 1,643.49 × 634.22
  4. Step 4: Simplify right side
    1,097.40x = 1,042,334.23
  5. Step 5: Solve for x
    x = 1,042,334.23/1,097.40
  6. Step 6: Final answer
    x = 949.82

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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.