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Finding the Fourth Proportional to 711.46, 981.77 and 396.77

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Solution

The fourth proportional to 711.46, 981.77 and 396.77 is: 547.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.46 : 981.77 = 396.77 : x
  2. Step 2: Convert to fraction form
    711.46/981.77 = 396.77/x
  3. Step 3: Cross multiply
    711.46x = 981.77 × 396.77
  4. Step 4: Simplify right side
    711.46x = 389,536.88
  5. Step 5: Solve for x
    x = 389,536.88/711.46
  6. Step 6: Final answer
    x = 547.52

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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.