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Finding the Fourth Proportional to 982.84, 1,356.12 and 589.78

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Solution

The fourth proportional to 982.84, 1,356.12 and 589.78 is: 813.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.84 : 1,356.12 = 589.78 : x
  2. Step 2: Convert to fraction form
    982.84/1,356.12 = 589.78/x
  3. Step 3: Cross multiply
    982.84x = 1,356.12 × 589.78
  4. Step 4: Simplify right side
    982.84x = 799,812.45
  5. Step 5: Solve for x
    x = 799,812.45/982.84
  6. Step 6: Final answer
    x = 813.78

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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.