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Finding the Fourth Proportional to 1,195.50, 1,649.76 and 664.38

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Solution

The fourth proportional to 1,195.50, 1,649.76 and 664.38 is: 916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.50 : 1,649.76 = 664.38 : x
  2. Step 2: Convert to fraction form
    1,195.50/1,649.76 = 664.38/x
  3. Step 3: Cross multiply
    1,195.50x = 1,649.76 × 664.38
  4. Step 4: Simplify right side
    1,195.50x = 1,096,073.74
  5. Step 5: Solve for x
    x = 1,096,073.74/1,195.50
  6. Step 6: Final answer
    x = 916.83

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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.