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Finding the Fourth Proportional to 1,194.64, 1,791.28 and 414.24

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Solution

The fourth proportional to 1,194.64, 1,791.28 and 414.24 is: 621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.64 : 1,791.28 = 414.24 : x
  2. Step 2: Convert to fraction form
    1,194.64/1,791.28 = 414.24/x
  3. Step 3: Cross multiply
    1,194.64x = 1,791.28 × 414.24
  4. Step 4: Simplify right side
    1,194.64x = 742,019.83
  5. Step 5: Solve for x
    x = 742,019.83/1,194.64
  6. Step 6: Final answer
    x = 621.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.