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Finding the Fourth Proportional to 597.07, 827.68 and 573.99

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Solution

The fourth proportional to 597.07, 827.68 and 573.99 is: 795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.07 : 827.68 = 573.99 : x
  2. Step 2: Convert to fraction form
    597.07/827.68 = 573.99/x
  3. Step 3: Cross multiply
    597.07x = 827.68 × 573.99
  4. Step 4: Simplify right side
    597.07x = 475,080.04
  5. Step 5: Solve for x
    x = 475,080.04/597.07
  6. Step 6: Final answer
    x = 795.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.