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Finding the Fourth Proportional to 1,308.81, 1,963.07 and 334.92

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Solution

The fourth proportional to 1,308.81, 1,963.07 and 334.92 is: 502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.81 : 1,963.07 = 334.92 : x
  2. Step 2: Convert to fraction form
    1,308.81/1,963.07 = 334.92/x
  3. Step 3: Cross multiply
    1,308.81x = 1,963.07 × 334.92
  4. Step 4: Simplify right side
    1,308.81x = 657,471.40
  5. Step 5: Solve for x
    x = 657,471.40/1,308.81
  6. Step 6: Final answer
    x = 502.34

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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.