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Finding the Fourth Proportional to 982.09, 1,354.90 and 562.22

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Solution

The fourth proportional to 982.09, 1,354.90 and 562.22 is: 775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.09 : 1,354.90 = 562.22 : x
  2. Step 2: Convert to fraction form
    982.09/1,354.90 = 562.22/x
  3. Step 3: Cross multiply
    982.09x = 1,354.90 × 562.22
  4. Step 4: Simplify right side
    982.09x = 761,744.90
  5. Step 5: Solve for x
    x = 761,744.90/982.09
  6. Step 6: Final answer
    x = 775.64

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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.