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Finding the Fourth Proportional to 1,196.79, 1,650.96 and 777.38

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Solution

The fourth proportional to 1,196.79, 1,650.96 and 777.38 is: 1,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.79 : 1,650.96 = 777.38 : x
  2. Step 2: Convert to fraction form
    1,196.79/1,650.96 = 777.38/x
  3. Step 3: Cross multiply
    1,196.79x = 1,650.96 × 777.38
  4. Step 4: Simplify right side
    1,196.79x = 1,283,427.41
  5. Step 5: Solve for x
    x = 1,283,427.41/1,196.79
  6. Step 6: Final answer
    x = 1,072.39

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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.