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Finding the Fourth Proportional to 1,165.97, 1,609.07 and 641.99

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Solution

The fourth proportional to 1,165.97, 1,609.07 and 641.99 is: 885.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.97 : 1,609.07 = 641.99 : x
  2. Step 2: Convert to fraction form
    1,165.97/1,609.07 = 641.99/x
  3. Step 3: Cross multiply
    1,165.97x = 1,609.07 × 641.99
  4. Step 4: Simplify right side
    1,165.97x = 1,032,995.59
  5. Step 5: Solve for x
    x = 1,032,995.59/1,165.97
  6. Step 6: Final answer
    x = 885.96

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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.