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Finding the Fourth Proportional to 711.67, 981.21 and 593.81

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Solution

The fourth proportional to 711.67, 981.21 and 593.81 is: 818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.67 : 981.21 = 593.81 : x
  2. Step 2: Convert to fraction form
    711.67/981.21 = 593.81/x
  3. Step 3: Cross multiply
    711.67x = 981.21 × 593.81
  4. Step 4: Simplify right side
    711.67x = 582,652.31
  5. Step 5: Solve for x
    x = 582,652.31/711.67
  6. Step 6: Final answer
    x = 818.72

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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.