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Finding the Fourth Proportional to 1,185.63, 1,636.19 and 681.53

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Solution

The fourth proportional to 1,185.63, 1,636.19 and 681.53 is: 940.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.63 : 1,636.19 = 681.53 : x
  2. Step 2: Convert to fraction form
    1,185.63/1,636.19 = 681.53/x
  3. Step 3: Cross multiply
    1,185.63x = 1,636.19 × 681.53
  4. Step 4: Simplify right side
    1,185.63x = 1,115,118.37
  5. Step 5: Solve for x
    x = 1,115,118.37/1,185.63
  6. Step 6: Final answer
    x = 940.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.