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Finding the Fourth Proportional to 981.44, 1,354.20 and 588.32

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Solution

The fourth proportional to 981.44, 1,354.20 and 588.32 is: 811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.44 : 1,354.20 = 588.32 : x
  2. Step 2: Convert to fraction form
    981.44/1,354.20 = 588.32/x
  3. Step 3: Cross multiply
    981.44x = 1,354.20 × 588.32
  4. Step 4: Simplify right side
    981.44x = 796,702.94
  5. Step 5: Solve for x
    x = 796,702.94/981.44
  6. Step 6: Final answer
    x = 811.77

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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.