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Finding the Fourth Proportional to 1,308.74, 1,963.16 and 419.45

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Solution

The fourth proportional to 1,308.74, 1,963.16 and 419.45 is: 629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.74 : 1,963.16 = 419.45 : x
  2. Step 2: Convert to fraction form
    1,308.74/1,963.16 = 419.45/x
  3. Step 3: Cross multiply
    1,308.74x = 1,963.16 × 419.45
  4. Step 4: Simplify right side
    1,308.74x = 823,447.46
  5. Step 5: Solve for x
    x = 823,447.46/1,308.74
  6. Step 6: Final answer
    x = 629.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.