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Finding the Fourth Proportional to 597.88, 896.82 and 511.80

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Solution

The fourth proportional to 597.88, 896.82 and 511.80 is: 767.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.88 : 896.82 = 511.80 : x
  2. Step 2: Convert to fraction form
    597.88/896.82 = 511.80/x
  3. Step 3: Cross multiply
    597.88x = 896.82 × 511.80
  4. Step 4: Simplify right side
    597.88x = 458,987.99
  5. Step 5: Solve for x
    x = 458,987.99/597.88
  6. Step 6: Final answer
    x = 767.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.