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Finding the Fourth Proportional to 1,180.94, 1,771.34 and 315.23

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Solution

The fourth proportional to 1,180.94, 1,771.34 and 315.23 is: 472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.94 : 1,771.34 = 315.23 : x
  2. Step 2: Convert to fraction form
    1,180.94/1,771.34 = 315.23/x
  3. Step 3: Cross multiply
    1,180.94x = 1,771.34 × 315.23
  4. Step 4: Simplify right side
    1,180.94x = 558,369.08
  5. Step 5: Solve for x
    x = 558,369.08/1,180.94
  6. Step 6: Final answer
    x = 472.82

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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.