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Finding the Fourth Proportional to 981.48, 1,354.20 and 588.42

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Solution

The fourth proportional to 981.48, 1,354.20 and 588.42 is: 811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.48 : 1,354.20 = 588.42 : x
  2. Step 2: Convert to fraction form
    981.48/1,354.20 = 588.42/x
  3. Step 3: Cross multiply
    981.48x = 1,354.20 × 588.42
  4. Step 4: Simplify right side
    981.48x = 796,838.36
  5. Step 5: Solve for x
    x = 796,838.36/981.48
  6. Step 6: Final answer
    x = 811.87

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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.