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Finding the Fourth Proportional to 711.51, 981.21 and 471.81

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Solution

The fourth proportional to 711.51, 981.21 and 471.81 is: 650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.51 : 981.21 = 471.81 : x
  2. Step 2: Convert to fraction form
    711.51/981.21 = 471.81/x
  3. Step 3: Cross multiply
    711.51x = 981.21 × 471.81
  4. Step 4: Simplify right side
    711.51x = 462,944.69
  5. Step 5: Solve for x
    x = 462,944.69/711.51
  6. Step 6: Final answer
    x = 650.65

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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.