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Finding the Fourth Proportional to 982.70, 1,356.24 and 589.85

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Solution

The fourth proportional to 982.70, 1,356.24 and 589.85 is: 814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.70 : 1,356.24 = 589.85 : x
  2. Step 2: Convert to fraction form
    982.70/1,356.24 = 589.85/x
  3. Step 3: Cross multiply
    982.70x = 1,356.24 × 589.85
  4. Step 4: Simplify right side
    982.70x = 799,971.38
  5. Step 5: Solve for x
    x = 799,971.38/982.70
  6. Step 6: Final answer
    x = 814.06

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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.