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Finding the Fourth Proportional to 1,167.39, 1,610.97 and 643.41

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Solution

The fourth proportional to 1,167.39, 1,610.97 and 643.41 is: 887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.39 : 1,610.97 = 643.41 : x
  2. Step 2: Convert to fraction form
    1,167.39/1,610.97 = 643.41/x
  3. Step 3: Cross multiply
    1,167.39x = 1,610.97 × 643.41
  4. Step 4: Simplify right side
    1,167.39x = 1,036,514.21
  5. Step 5: Solve for x
    x = 1,036,514.21/1,167.39
  6. Step 6: Final answer
    x = 887.89

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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.