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Finding the Fourth Proportional to 723.80, 997.79 and 590.78

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Solution

The fourth proportional to 723.80, 997.79 and 590.78 is: 814.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.80 : 997.79 = 590.78 : x
  2. Step 2: Convert to fraction form
    723.80/997.79 = 590.78/x
  3. Step 3: Cross multiply
    723.80x = 997.79 × 590.78
  4. Step 4: Simplify right side
    723.80x = 589,466.43
  5. Step 5: Solve for x
    x = 589,466.43/723.80
  6. Step 6: Final answer
    x = 814.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.