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Finding the Fourth Proportional to 968.22, 1,453.05 and 778.14

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Solution

The fourth proportional to 968.22, 1,453.05 and 778.14 is: 1,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.22 : 1,453.05 = 778.14 : x
  2. Step 2: Convert to fraction form
    968.22/1,453.05 = 778.14/x
  3. Step 3: Cross multiply
    968.22x = 1,453.05 × 778.14
  4. Step 4: Simplify right side
    968.22x = 1,130,676.33
  5. Step 5: Solve for x
    x = 1,130,676.33/968.22
  6. Step 6: Final answer
    x = 1,167.79

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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.