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Finding the Fourth Proportional to 981.28, 1,353.78 and 588.34

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Solution

The fourth proportional to 981.28, 1,353.78 and 588.34 is: 811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.28 : 1,353.78 = 588.34 : x
  2. Step 2: Convert to fraction form
    981.28/1,353.78 = 588.34/x
  3. Step 3: Cross multiply
    981.28x = 1,353.78 × 588.34
  4. Step 4: Simplify right side
    981.28x = 796,482.93
  5. Step 5: Solve for x
    x = 796,482.93/981.28
  6. Step 6: Final answer
    x = 811.68

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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.