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Finding the Fourth Proportional to 1,308.99, 1,963.49 and 335.09

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Solution

The fourth proportional to 1,308.99, 1,963.49 and 335.09 is: 502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.99 : 1,963.49 = 335.09 : x
  2. Step 2: Convert to fraction form
    1,308.99/1,963.49 = 335.09/x
  3. Step 3: Cross multiply
    1,308.99x = 1,963.49 × 335.09
  4. Step 4: Simplify right side
    1,308.99x = 657,945.86
  5. Step 5: Solve for x
    x = 657,945.86/1,308.99
  6. Step 6: Final answer
    x = 502.64

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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.