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Finding the Fourth Proportional to 654.62, 981.90 and 472.34

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Solution

The fourth proportional to 654.62, 981.90 and 472.34 is: 708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.62 : 981.90 = 472.34 : x
  2. Step 2: Convert to fraction form
    654.62/981.90 = 472.34/x
  3. Step 3: Cross multiply
    654.62x = 981.90 × 472.34
  4. Step 4: Simplify right side
    654.62x = 463,790.65
  5. Step 5: Solve for x
    x = 463,790.65/654.62
  6. Step 6: Final answer
    x = 708.49

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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.