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Finding the Fourth Proportional to 1,179.81, 1,628.10 and 655.83

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Solution

The fourth proportional to 1,179.81, 1,628.10 and 655.83 is: 905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.81 : 1,628.10 = 655.83 : x
  2. Step 2: Convert to fraction form
    1,179.81/1,628.10 = 655.83/x
  3. Step 3: Cross multiply
    1,179.81x = 1,628.10 × 655.83
  4. Step 4: Simplify right side
    1,179.81x = 1,067,756.82
  5. Step 5: Solve for x
    x = 1,067,756.82/1,179.81
  6. Step 6: Final answer
    x = 905.02

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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.