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Finding the Fourth Proportional to 1,308.66, 1,958.28 and 786.81

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Solution

The fourth proportional to 1,308.66, 1,958.28 and 786.81 is: 1,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.66 : 1,958.28 = 786.81 : x
  2. Step 2: Convert to fraction form
    1,308.66/1,958.28 = 786.81/x
  3. Step 3: Cross multiply
    1,308.66x = 1,958.28 × 786.81
  4. Step 4: Simplify right side
    1,308.66x = 1,540,798.68
  5. Step 5: Solve for x
    x = 1,540,798.68/1,308.66
  6. Step 6: Final answer
    x = 1,177.39

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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.