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Finding the Fourth Proportional to 1,180.86, 1,770.61 and 400.47

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Solution

The fourth proportional to 1,180.86, 1,770.61 and 400.47 is: 600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.86 : 1,770.61 = 400.47 : x
  2. Step 2: Convert to fraction form
    1,180.86/1,770.61 = 400.47/x
  3. Step 3: Cross multiply
    1,180.86x = 1,770.61 × 400.47
  4. Step 4: Simplify right side
    1,180.86x = 709,076.19
  5. Step 5: Solve for x
    x = 709,076.19/1,180.86
  6. Step 6: Final answer
    x = 600.47

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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.