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Finding the Fourth Proportional to 597.53, 823.57 and 512.88

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Solution

The fourth proportional to 597.53, 823.57 and 512.88 is: 706.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.53 : 823.57 = 512.88 : x
  2. Step 2: Convert to fraction form
    597.53/823.57 = 512.88/x
  3. Step 3: Cross multiply
    597.53x = 823.57 × 512.88
  4. Step 4: Simplify right side
    597.53x = 422,392.84
  5. Step 5: Solve for x
    x = 422,392.84/597.53
  6. Step 6: Final answer
    x = 706.90

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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.