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Finding the Fourth Proportional to 1,195.17, 1,791.69 and 414.63

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Solution

The fourth proportional to 1,195.17, 1,791.69 and 414.63 is: 621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.17 : 1,791.69 = 414.63 : x
  2. Step 2: Convert to fraction form
    1,195.17/1,791.69 = 414.63/x
  3. Step 3: Cross multiply
    1,195.17x = 1,791.69 × 414.63
  4. Step 4: Simplify right side
    1,195.17x = 742,888.42
  5. Step 5: Solve for x
    x = 742,888.42/1,195.17
  6. Step 6: Final answer
    x = 621.58

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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.