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Finding the Fourth Proportional to 982.15, 1,354.91 and 588.49

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Solution

The fourth proportional to 982.15, 1,354.91 and 588.49 is: 811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.15 : 1,354.91 = 588.49 : x
  2. Step 2: Convert to fraction form
    982.15/1,354.91 = 588.49/x
  3. Step 3: Cross multiply
    982.15x = 1,354.91 × 588.49
  4. Step 4: Simplify right side
    982.15x = 797,352.46
  5. Step 5: Solve for x
    x = 797,352.46/982.15
  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.