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Finding the Fourth Proportional to 589.80, 812.19 and 527.61

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Solution

The fourth proportional to 589.80, 812.19 and 527.61 is: 726.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.80 : 812.19 = 527.61 : x
  2. Step 2: Convert to fraction form
    589.80/812.19 = 527.61/x
  3. Step 3: Cross multiply
    589.80x = 812.19 × 527.61
  4. Step 4: Simplify right side
    589.80x = 428,519.57
  5. Step 5: Solve for x
    x = 428,519.57/589.80
  6. Step 6: Final answer
    x = 726.55

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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.