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Finding the Fourth Proportional to 1,189.57, 1,784.38 and 323.89

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Solution

The fourth proportional to 1,189.57, 1,784.38 and 323.89 is: 485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.57 : 1,784.38 = 323.89 : x
  2. Step 2: Convert to fraction form
    1,189.57/1,784.38 = 323.89/x
  3. Step 3: Cross multiply
    1,189.57x = 1,784.38 × 323.89
  4. Step 4: Simplify right side
    1,189.57x = 577,942.84
  5. Step 5: Solve for x
    x = 577,942.84/1,189.57
  6. Step 6: Final answer
    x = 485.84

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Why These Related Problems?

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