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Finding the Fourth Proportional to 597.96, 817.80 and 595.80

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Solution

The fourth proportional to 597.96, 817.80 and 595.80 is: 814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 817.80 = 595.80 : x
  2. Step 2: Convert to fraction form
    597.96/817.80 = 595.80/x
  3. Step 3: Cross multiply
    597.96x = 817.80 × 595.80
  4. Step 4: Simplify right side
    597.96x = 487,245.24
  5. Step 5: Solve for x
    x = 487,245.24/597.96
  6. Step 6: Final answer
    x = 814.85

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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.