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Finding the Fourth Proportional to 1,189.23, 1,783.64 and 323.55

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Solution

The fourth proportional to 1,189.23, 1,783.64 and 323.55 is: 485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.23 : 1,783.64 = 323.55 : x
  2. Step 2: Convert to fraction form
    1,189.23/1,783.64 = 323.55/x
  3. Step 3: Cross multiply
    1,189.23x = 1,783.64 × 323.55
  4. Step 4: Simplify right side
    1,189.23x = 577,095.10
  5. Step 5: Solve for x
    x = 577,095.10/1,189.23
  6. Step 6: Final answer
    x = 485.27

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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.