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Finding the Fourth Proportional to 711.78, 981.87 and 431.85

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Solution

The fourth proportional to 711.78, 981.87 and 431.85 is: 595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.78 : 981.87 = 431.85 : x
  2. Step 2: Convert to fraction form
    711.78/981.87 = 431.85/x
  3. Step 3: Cross multiply
    711.78x = 981.87 × 431.85
  4. Step 4: Simplify right side
    711.78x = 424,020.56
  5. Step 5: Solve for x
    x = 424,020.56/711.78
  6. Step 6: Final answer
    x = 595.72

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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.