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Finding the Fourth Proportional to 1,281.31, 1,922.15 and 415.33

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Solution

The fourth proportional to 1,281.31, 1,922.15 and 415.33 is: 623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.31 : 1,922.15 = 415.33 : x
  2. Step 2: Convert to fraction form
    1,281.31/1,922.15 = 415.33/x
  3. Step 3: Cross multiply
    1,281.31x = 1,922.15 × 415.33
  4. Step 4: Simplify right side
    1,281.31x = 798,326.56
  5. Step 5: Solve for x
    x = 798,326.56/1,281.31
  6. Step 6: Final answer
    x = 623.05

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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.