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Finding the Fourth Proportional to 594.45, 825.84 and 589.11

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Solution

The fourth proportional to 594.45, 825.84 and 589.11 is: 818.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.45 : 825.84 = 589.11 : x
  2. Step 2: Convert to fraction form
    594.45/825.84 = 589.11/x
  3. Step 3: Cross multiply
    594.45x = 825.84 × 589.11
  4. Step 4: Simplify right side
    594.45x = 486,510.60
  5. Step 5: Solve for x
    x = 486,510.60/594.45
  6. Step 6: Final answer
    x = 818.42

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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.