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Finding the Fourth Proportional to 709.21, 976.62 and 598.24

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Solution

The fourth proportional to 709.21, 976.62 and 598.24 is: 823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.21 : 976.62 = 598.24 : x
  2. Step 2: Convert to fraction form
    709.21/976.62 = 598.24/x
  3. Step 3: Cross multiply
    709.21x = 976.62 × 598.24
  4. Step 4: Simplify right side
    709.21x = 584,253.15
  5. Step 5: Solve for x
    x = 584,253.15/709.21
  6. Step 6: Final answer
    x = 823.81

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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.