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Finding the Fourth Proportional to 1,180.38, 1,770.57 and 314.64

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Solution

The fourth proportional to 1,180.38, 1,770.57 and 314.64 is: 471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.38 : 1,770.57 = 314.64 : x
  2. Step 2: Convert to fraction form
    1,180.38/1,770.57 = 314.64/x
  3. Step 3: Cross multiply
    1,180.38x = 1,770.57 × 314.64
  4. Step 4: Simplify right side
    1,180.38x = 557,092.14
  5. Step 5: Solve for x
    x = 557,092.14/1,180.38
  6. Step 6: Final answer
    x = 471.96

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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.