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Finding the Fourth Proportional to 981.86, 1,473.30 and 434.42

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Solution

The fourth proportional to 981.86, 1,473.30 and 434.42 is: 651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.86 : 1,473.30 = 434.42 : x
  2. Step 2: Convert to fraction form
    981.86/1,473.30 = 434.42/x
  3. Step 3: Cross multiply
    981.86x = 1,473.30 × 434.42
  4. Step 4: Simplify right side
    981.86x = 640,023.62
  5. Step 5: Solve for x
    x = 640,023.62/981.86
  6. Step 6: Final answer
    x = 651.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.