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Finding the Fourth Proportional to 982.67, 1,356.13 and 589.69

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Solution

The fourth proportional to 982.67, 1,356.13 and 589.69 is: 813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.67 : 1,356.13 = 589.69 : x
  2. Step 2: Convert to fraction form
    982.67/1,356.13 = 589.69/x
  3. Step 3: Cross multiply
    982.67x = 1,356.13 × 589.69
  4. Step 4: Simplify right side
    982.67x = 799,696.30
  5. Step 5: Solve for x
    x = 799,696.30/982.67
  6. Step 6: Final answer
    x = 813.80

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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.