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Finding the Fourth Proportional to 1,180.10, 1,770.18 and 467.86

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Solution

The fourth proportional to 1,180.10, 1,770.18 and 467.86 is: 701.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.10 : 1,770.18 = 467.86 : x
  2. Step 2: Convert to fraction form
    1,180.10/1,770.18 = 467.86/x
  3. Step 3: Cross multiply
    1,180.10x = 1,770.18 × 467.86
  4. Step 4: Simplify right side
    1,180.10x = 828,196.41
  5. Step 5: Solve for x
    x = 828,196.41/1,180.10
  6. Step 6: Final answer
    x = 701.80

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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.