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Finding the Fourth Proportional to 949.92, 1,310.32 and 701.88

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Solution

The fourth proportional to 949.92, 1,310.32 and 701.88 is: 968.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.92 : 1,310.32 = 701.88 : x
  2. Step 2: Convert to fraction form
    949.92/1,310.32 = 701.88/x
  3. Step 3: Cross multiply
    949.92x = 1,310.32 × 701.88
  4. Step 4: Simplify right side
    949.92x = 919,687.40
  5. Step 5: Solve for x
    x = 919,687.40/949.92
  6. Step 6: Final answer
    x = 968.17

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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.