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Finding the Fourth Proportional to 1,172.31, 1,617.79 and 648.38

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Solution

The fourth proportional to 1,172.31, 1,617.79 and 648.38 is: 894.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.31 : 1,617.79 = 648.38 : x
  2. Step 2: Convert to fraction form
    1,172.31/1,617.79 = 648.38/x
  3. Step 3: Cross multiply
    1,172.31x = 1,617.79 × 648.38
  4. Step 4: Simplify right side
    1,172.31x = 1,048,939.45
  5. Step 5: Solve for x
    x = 1,048,939.45/1,172.31
  6. Step 6: Final answer
    x = 894.76

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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.