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Finding the Fourth Proportional to 981.68, 1,353.96 and 588.62

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Solution

The fourth proportional to 981.68, 1,353.96 and 588.62 is: 811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.68 : 1,353.96 = 588.62 : x
  2. Step 2: Convert to fraction form
    981.68/1,353.96 = 588.62/x
  3. Step 3: Cross multiply
    981.68x = 1,353.96 × 588.62
  4. Step 4: Simplify right side
    981.68x = 796,967.94
  5. Step 5: Solve for x
    x = 796,967.94/981.68
  6. Step 6: Final answer
    x = 811.84

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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.