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Finding the Fourth Proportional to 982.63, 1,356.27 and 589.57

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Solution

The fourth proportional to 982.63, 1,356.27 and 589.57 is: 813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.63 : 1,356.27 = 589.57 : x
  2. Step 2: Convert to fraction form
    982.63/1,356.27 = 589.57/x
  3. Step 3: Cross multiply
    982.63x = 1,356.27 × 589.57
  4. Step 4: Simplify right side
    982.63x = 799,616.10
  5. Step 5: Solve for x
    x = 799,616.10/982.63
  6. Step 6: Final answer
    x = 813.75

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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.