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Finding the Fourth Proportional to 1,185.73, 1,636.26 and 654.59

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Solution

The fourth proportional to 1,185.73, 1,636.26 and 654.59 is: 903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.73 : 1,636.26 = 654.59 : x
  2. Step 2: Convert to fraction form
    1,185.73/1,636.26 = 654.59/x
  3. Step 3: Cross multiply
    1,185.73x = 1,636.26 × 654.59
  4. Step 4: Simplify right side
    1,185.73x = 1,071,081.07
  5. Step 5: Solve for x
    x = 1,071,081.07/1,185.73
  6. Step 6: Final answer
    x = 903.31

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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.