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Finding the Fourth Proportional to 950.25, 1,308.62 and 816.40

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Solution

The fourth proportional to 950.25, 1,308.62 and 816.40 is: 1,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.25 : 1,308.62 = 816.40 : x
  2. Step 2: Convert to fraction form
    950.25/1,308.62 = 816.40/x
  3. Step 3: Cross multiply
    950.25x = 1,308.62 × 816.40
  4. Step 4: Simplify right side
    950.25x = 1,068,357.37
  5. Step 5: Solve for x
    x = 1,068,357.37/950.25
  6. Step 6: Final answer
    x = 1,124.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.