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Finding the Fourth Proportional to 968.75, 1,335.85 and 688.69

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Solution

The fourth proportional to 968.75, 1,335.85 and 688.69 is: 949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.75 : 1,335.85 = 688.69 : x
  2. Step 2: Convert to fraction form
    968.75/1,335.85 = 688.69/x
  3. Step 3: Cross multiply
    968.75x = 1,335.85 × 688.69
  4. Step 4: Simplify right side
    968.75x = 919,981.48
  5. Step 5: Solve for x
    x = 919,981.48/968.75
  6. Step 6: Final answer
    x = 949.66

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