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Finding the Fourth Proportional to 1,078.31, 1,617.47 and 308.81

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Solution

The fourth proportional to 1,078.31, 1,617.47 and 308.81 is: 463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.31 : 1,617.47 = 308.81 : x
  2. Step 2: Convert to fraction form
    1,078.31/1,617.47 = 308.81/x
  3. Step 3: Cross multiply
    1,078.31x = 1,617.47 × 308.81
  4. Step 4: Simplify right side
    1,078.31x = 499,494.57
  5. Step 5: Solve for x
    x = 499,494.57/1,078.31
  6. Step 6: Final answer
    x = 463.22

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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.