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Finding the Fourth Proportional to 982.71, 1,354.95 and 589.59

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Solution

The fourth proportional to 982.71, 1,354.95 and 589.59 is: 812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.71 : 1,354.95 = 589.59 : x
  2. Step 2: Convert to fraction form
    982.71/1,354.95 = 589.59/x
  3. Step 3: Cross multiply
    982.71x = 1,354.95 × 589.59
  4. Step 4: Simplify right side
    982.71x = 798,864.97
  5. Step 5: Solve for x
    x = 798,864.97/982.71
  6. Step 6: Final answer
    x = 812.92

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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.