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Finding the Fourth Proportional to 1,185.57, 1,778.01 and 454.75

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Solution

The fourth proportional to 1,185.57, 1,778.01 and 454.75 is: 681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.57 : 1,778.01 = 454.75 : x
  2. Step 2: Convert to fraction form
    1,185.57/1,778.01 = 454.75/x
  3. Step 3: Cross multiply
    1,185.57x = 1,778.01 × 454.75
  4. Step 4: Simplify right side
    1,185.57x = 808,550.05
  5. Step 5: Solve for x
    x = 808,550.05/1,185.57
  6. Step 6: Final answer
    x = 681.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.