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Finding the Fourth Proportional to 612.83, 845.41 and 589.26

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Solution

The fourth proportional to 612.83, 845.41 and 589.26 is: 812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.83 : 845.41 = 589.26 : x
  2. Step 2: Convert to fraction form
    612.83/845.41 = 589.26/x
  3. Step 3: Cross multiply
    612.83x = 845.41 × 589.26
  4. Step 4: Simplify right side
    612.83x = 498,163.35
  5. Step 5: Solve for x
    x = 498,163.35/612.83
  6. Step 6: Final answer
    x = 812.90

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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.