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Finding the Fourth Proportional to 981.07, 1,353.88 and 588.09

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Solution

The fourth proportional to 981.07, 1,353.88 and 588.09 is: 811.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.07 : 1,353.88 = 588.09 : x
  2. Step 2: Convert to fraction form
    981.07/1,353.88 = 588.09/x
  3. Step 3: Cross multiply
    981.07x = 1,353.88 × 588.09
  4. Step 4: Simplify right side
    981.07x = 796,209.10
  5. Step 5: Solve for x
    x = 796,209.10/981.07
  6. Step 6: Final answer
    x = 811.57

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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.