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Finding the Fourth Proportional to 968.90, 1,454.96 and 961.34

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Solution

The fourth proportional to 968.90, 1,454.96 and 961.34 is: 1,443.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.90 : 1,454.96 = 961.34 : x
  2. Step 2: Convert to fraction form
    968.90/1,454.96 = 961.34/x
  3. Step 3: Cross multiply
    968.90x = 1,454.96 × 961.34
  4. Step 4: Simplify right side
    968.90x = 1,398,706.37
  5. Step 5: Solve for x
    x = 1,398,706.37/968.90
  6. Step 6: Final answer
    x = 1,443.61

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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.