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Finding the Fourth Proportional to 1,187.25, 1,638.42 and 663.33

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Solution

The fourth proportional to 1,187.25, 1,638.42 and 663.33 is: 915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.25 : 1,638.42 = 663.33 : x
  2. Step 2: Convert to fraction form
    1,187.25/1,638.42 = 663.33/x
  3. Step 3: Cross multiply
    1,187.25x = 1,638.42 × 663.33
  4. Step 4: Simplify right side
    1,187.25x = 1,086,813.14
  5. Step 5: Solve for x
    x = 1,086,813.14/1,187.25
  6. Step 6: Final answer
    x = 915.40

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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.