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Finding the Fourth Proportional to 1,186.04, 1,777.77 and 455.30

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Solution

The fourth proportional to 1,186.04, 1,777.77 and 455.30 is: 682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.04 : 1,777.77 = 455.30 : x
  2. Step 2: Convert to fraction form
    1,186.04/1,777.77 = 455.30/x
  3. Step 3: Cross multiply
    1,186.04x = 1,777.77 × 455.30
  4. Step 4: Simplify right side
    1,186.04x = 809,418.68
  5. Step 5: Solve for x
    x = 809,418.68/1,186.04
  6. Step 6: Final answer
    x = 682.45

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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.