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Finding the Fourth Proportional to 982.84, 1,356.26 and 590.08

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Solution

The fourth proportional to 982.84, 1,356.26 and 590.08 is: 814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.84 : 1,356.26 = 590.08 : x
  2. Step 2: Convert to fraction form
    982.84/1,356.26 = 590.08/x
  3. Step 3: Cross multiply
    982.84x = 1,356.26 × 590.08
  4. Step 4: Simplify right side
    982.84x = 800,295.56
  5. Step 5: Solve for x
    x = 800,295.56/982.84
  6. Step 6: Final answer
    x = 814.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.