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Finding the Fourth Proportional to 1,180.38, 1,770.44 and 314.63

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Solution

The fourth proportional to 1,180.38, 1,770.44 and 314.63 is: 471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.38 : 1,770.44 = 314.63 : x
  2. Step 2: Convert to fraction form
    1,180.38/1,770.44 = 314.63/x
  3. Step 3: Cross multiply
    1,180.38x = 1,770.44 × 314.63
  4. Step 4: Simplify right side
    1,180.38x = 557,023.11
  5. Step 5: Solve for x
    x = 557,023.11/1,180.38
  6. Step 6: Final answer
    x = 471.90

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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.