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Finding the Fourth Proportional to 650.90, 980.73 and 589.27

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Solution

The fourth proportional to 650.90, 980.73 and 589.27 is: 887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.90 : 980.73 = 589.27 : x
  2. Step 2: Convert to fraction form
    650.90/980.73 = 589.27/x
  3. Step 3: Cross multiply
    650.90x = 980.73 × 589.27
  4. Step 4: Simplify right side
    650.90x = 577,914.77
  5. Step 5: Solve for x
    x = 577,914.77/650.90
  6. Step 6: Final answer
    x = 887.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.