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Finding the Fourth Proportional to 981.37, 1,354.23 and 588.16

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Solution

The fourth proportional to 981.37, 1,354.23 and 588.16 is: 811.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.37 : 1,354.23 = 588.16 : x
  2. Step 2: Convert to fraction form
    981.37/1,354.23 = 588.16/x
  3. Step 3: Cross multiply
    981.37x = 1,354.23 × 588.16
  4. Step 4: Simplify right side
    981.37x = 796,503.92
  5. Step 5: Solve for x
    x = 796,503.92/981.37
  6. Step 6: Final answer
    x = 811.62

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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.