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Finding the Fourth Proportional to 968.20, 1,335.52 and 688.81

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Solution

The fourth proportional to 968.20, 1,335.52 and 688.81 is: 950.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.20 : 1,335.52 = 688.81 : x
  2. Step 2: Convert to fraction form
    968.20/1,335.52 = 688.81/x
  3. Step 3: Cross multiply
    968.20x = 1,335.52 × 688.81
  4. Step 4: Simplify right side
    968.20x = 919,919.64
  5. Step 5: Solve for x
    x = 919,919.64/968.20
  6. Step 6: Final answer
    x = 950.14

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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.