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Finding the Fourth Proportional to 1,185.25, 1,636.05 and 719.50

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Solution

The fourth proportional to 1,185.25, 1,636.05 and 719.50 is: 993.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.25 : 1,636.05 = 719.50 : x
  2. Step 2: Convert to fraction form
    1,185.25/1,636.05 = 719.50/x
  3. Step 3: Cross multiply
    1,185.25x = 1,636.05 × 719.50
  4. Step 4: Simplify right side
    1,185.25x = 1,177,137.98
  5. Step 5: Solve for x
    x = 1,177,137.98/1,185.25
  6. Step 6: Final answer
    x = 993.16

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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.