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Finding the Fourth Proportional to 1,185.05, 1,777.86 and 454.68

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Solution

The fourth proportional to 1,185.05, 1,777.86 and 454.68 is: 682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.05 : 1,777.86 = 454.68 : x
  2. Step 2: Convert to fraction form
    1,185.05/1,777.86 = 454.68/x
  3. Step 3: Cross multiply
    1,185.05x = 1,777.86 × 454.68
  4. Step 4: Simplify right side
    1,185.05x = 808,357.38
  5. Step 5: Solve for x
    x = 808,357.38/1,185.05
  6. Step 6: Final answer
    x = 682.13

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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.