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Finding the Fourth Proportional to 949.44, 1,422.54 and 766.38

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Solution

The fourth proportional to 949.44, 1,422.54 and 766.38 is: 1,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.44 : 1,422.54 = 766.38 : x
  2. Step 2: Convert to fraction form
    949.44/1,422.54 = 766.38/x
  3. Step 3: Cross multiply
    949.44x = 1,422.54 × 766.38
  4. Step 4: Simplify right side
    949.44x = 1,090,206.21
  5. Step 5: Solve for x
    x = 1,090,206.21/949.44
  6. Step 6: Final answer
    x = 1,148.26

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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.