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Finding the Fourth Proportional to 1,513.43, 2,268.41 and 691.79

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Solution

The fourth proportional to 1,513.43, 2,268.41 and 691.79 is: 1,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.43 : 2,268.41 = 691.79 : x
  2. Step 2: Convert to fraction form
    1,513.43/2,268.41 = 691.79/x
  3. Step 3: Cross multiply
    1,513.43x = 2,268.41 × 691.79
  4. Step 4: Simplify right side
    1,513.43x = 1,569,261.31
  5. Step 5: Solve for x
    x = 1,569,261.31/1,513.43
  6. Step 6: Final answer
    x = 1,036.89

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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.