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Finding the Fourth Proportional to 1,195.17, 1,649.42 and 664.08

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Solution

The fourth proportional to 1,195.17, 1,649.42 and 664.08 is: 916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.17 : 1,649.42 = 664.08 : x
  2. Step 2: Convert to fraction form
    1,195.17/1,649.42 = 664.08/x
  3. Step 3: Cross multiply
    1,195.17x = 1,649.42 × 664.08
  4. Step 4: Simplify right side
    1,195.17x = 1,095,346.83
  5. Step 5: Solve for x
    x = 1,095,346.83/1,195.17
  6. Step 6: Final answer
    x = 916.48

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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.