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Finding the Fourth Proportional to 1,453.55, 2,180.14 and 466.47

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Solution

The fourth proportional to 1,453.55, 2,180.14 and 466.47 is: 699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.55 : 2,180.14 = 466.47 : x
  2. Step 2: Convert to fraction form
    1,453.55/2,180.14 = 466.47/x
  3. Step 3: Cross multiply
    1,453.55x = 2,180.14 × 466.47
  4. Step 4: Simplify right side
    1,453.55x = 1,016,969.91
  5. Step 5: Solve for x
    x = 1,016,969.91/1,453.55
  6. Step 6: Final answer
    x = 699.65

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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.