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Finding the Fourth Proportional to 981.53, 1,353.46 and 701.66

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Solution

The fourth proportional to 981.53, 1,353.46 and 701.66 is: 967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.53 : 1,353.46 = 701.66 : x
  2. Step 2: Convert to fraction form
    981.53/1,353.46 = 701.66/x
  3. Step 3: Cross multiply
    981.53x = 1,353.46 × 701.66
  4. Step 4: Simplify right side
    981.53x = 949,671.69
  5. Step 5: Solve for x
    x = 949,671.69/981.53
  6. Step 6: Final answer
    x = 967.54

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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.