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Finding the Fourth Proportional to 597.85, 824.89 and 519.02

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Solution

The fourth proportional to 597.85, 824.89 and 519.02 is: 716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.85 : 824.89 = 519.02 : x
  2. Step 2: Convert to fraction form
    597.85/824.89 = 519.02/x
  3. Step 3: Cross multiply
    597.85x = 824.89 × 519.02
  4. Step 4: Simplify right side
    597.85x = 428,136.47
  5. Step 5: Solve for x
    x = 428,136.47/597.85
  6. Step 6: Final answer
    x = 716.13

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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.