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Finding the Fourth Proportional to 682.20, 1,018.89 and 589.86

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Solution

The fourth proportional to 682.20, 1,018.89 and 589.86 is: 880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.20 : 1,018.89 = 589.86 : x
  2. Step 2: Convert to fraction form
    682.20/1,018.89 = 589.86/x
  3. Step 3: Cross multiply
    682.20x = 1,018.89 × 589.86
  4. Step 4: Simplify right side
    682.20x = 601,002.46
  5. Step 5: Solve for x
    x = 601,002.46/682.20
  6. Step 6: Final answer
    x = 880.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.