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Finding the Fourth Proportional to 968.85, 1,336.91 and 772.29

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Solution

The fourth proportional to 968.85, 1,336.91 and 772.29 is: 1,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.85 : 1,336.91 = 772.29 : x
  2. Step 2: Convert to fraction form
    968.85/1,336.91 = 772.29/x
  3. Step 3: Cross multiply
    968.85x = 1,336.91 × 772.29
  4. Step 4: Simplify right side
    968.85x = 1,032,478.36
  5. Step 5: Solve for x
    x = 1,032,478.36/968.85
  6. Step 6: Final answer
    x = 1,065.67

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Why These Related Problems?

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