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Finding the Fourth Proportional to 601.49, 824.04 and 579.62

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Solution

The fourth proportional to 601.49, 824.04 and 579.62 is: 794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.49 : 824.04 = 579.62 : x
  2. Step 2: Convert to fraction form
    601.49/824.04 = 579.62/x
  3. Step 3: Cross multiply
    601.49x = 824.04 × 579.62
  4. Step 4: Simplify right side
    601.49x = 477,632.12
  5. Step 5: Solve for x
    x = 477,632.12/601.49
  6. Step 6: Final answer
    x = 794.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.