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Finding the Fourth Proportional to 1,180.23, 1,770.39 and 314.55

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Solution

The fourth proportional to 1,180.23, 1,770.39 and 314.55 is: 471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.23 : 1,770.39 = 314.55 : x
  2. Step 2: Convert to fraction form
    1,180.23/1,770.39 = 314.55/x
  3. Step 3: Cross multiply
    1,180.23x = 1,770.39 × 314.55
  4. Step 4: Simplify right side
    1,180.23x = 556,876.17
  5. Step 5: Solve for x
    x = 556,876.17/1,180.23
  6. Step 6: Final answer
    x = 471.84

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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.