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Finding the Fourth Proportional to 1,290.14, 1,934.52 and 412.37

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Solution

The fourth proportional to 1,290.14, 1,934.52 and 412.37 is: 618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.14 : 1,934.52 = 412.37 : x
  2. Step 2: Convert to fraction form
    1,290.14/1,934.52 = 412.37/x
  3. Step 3: Cross multiply
    1,290.14x = 1,934.52 × 412.37
  4. Step 4: Simplify right side
    1,290.14x = 797,728.34
  5. Step 5: Solve for x
    x = 797,728.34/1,290.14
  6. Step 6: Final answer
    x = 618.33

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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.