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Finding the Fourth Proportional to 598.82, 829.90 and 589.70

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Solution

The fourth proportional to 598.82, 829.90 and 589.70 is: 817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.82 : 829.90 = 589.70 : x
  2. Step 2: Convert to fraction form
    598.82/829.90 = 589.70/x
  3. Step 3: Cross multiply
    598.82x = 829.90 × 589.70
  4. Step 4: Simplify right side
    598.82x = 489,392.03
  5. Step 5: Solve for x
    x = 489,392.03/598.82
  6. Step 6: Final answer
    x = 817.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.