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Finding the Fourth Proportional to 1,195.19, 1,649.26 and 664.07

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Solution

The fourth proportional to 1,195.19, 1,649.26 and 664.07 is: 916.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.19 : 1,649.26 = 664.07 : x
  2. Step 2: Convert to fraction form
    1,195.19/1,649.26 = 664.07/x
  3. Step 3: Cross multiply
    1,195.19x = 1,649.26 × 664.07
  4. Step 4: Simplify right side
    1,195.19x = 1,095,224.09
  5. Step 5: Solve for x
    x = 1,095,224.09/1,195.19
  6. Step 6: Final answer
    x = 916.36

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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.