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Finding the Fourth Proportional to 604.76, 827.19 and 595.22

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Solution

The fourth proportional to 604.76, 827.19 and 595.22 is: 814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.76 : 827.19 = 595.22 : x
  2. Step 2: Convert to fraction form
    604.76/827.19 = 595.22/x
  3. Step 3: Cross multiply
    604.76x = 827.19 × 595.22
  4. Step 4: Simplify right side
    604.76x = 492,355.90
  5. Step 5: Solve for x
    x = 492,355.90/604.76
  6. Step 6: Final answer
    x = 814.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.