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Finding the Fourth Proportional to 600.97, 824.68 and 594.14

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Solution

The fourth proportional to 600.97, 824.68 and 594.14 is: 815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.97 : 824.68 = 594.14 : x
  2. Step 2: Convert to fraction form
    600.97/824.68 = 594.14/x
  3. Step 3: Cross multiply
    600.97x = 824.68 × 594.14
  4. Step 4: Simplify right side
    600.97x = 489,971.99
  5. Step 5: Solve for x
    x = 489,971.99/600.97
  6. Step 6: Final answer
    x = 815.30

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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.