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Finding the Fourth Proportional to 1,172.39, 1,617.98 and 648.41

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Solution

The fourth proportional to 1,172.39, 1,617.98 and 648.41 is: 894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.39 : 1,617.98 = 648.41 : x
  2. Step 2: Convert to fraction form
    1,172.39/1,617.98 = 648.41/x
  3. Step 3: Cross multiply
    1,172.39x = 1,617.98 × 648.41
  4. Step 4: Simplify right side
    1,172.39x = 1,049,103.08
  5. Step 5: Solve for x
    x = 1,049,103.08/1,172.39
  6. Step 6: Final answer
    x = 894.85

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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.