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Finding the Fourth Proportional to 711.60, 981.96 and 431.73

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Solution

The fourth proportional to 711.60, 981.96 and 431.73 is: 595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.60 : 981.96 = 431.73 : x
  2. Step 2: Convert to fraction form
    711.60/981.96 = 431.73/x
  3. Step 3: Cross multiply
    711.60x = 981.96 × 431.73
  4. Step 4: Simplify right side
    711.60x = 423,941.59
  5. Step 5: Solve for x
    x = 423,941.59/711.60
  6. Step 6: Final answer
    x = 595.76

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Why These Related Problems?

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