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Finding the Fourth Proportional to 654.88, 982.94 and 471.42

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Solution

The fourth proportional to 654.88, 982.94 and 471.42 is: 707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.88 : 982.94 = 471.42 : x
  2. Step 2: Convert to fraction form
    654.88/982.94 = 471.42/x
  3. Step 3: Cross multiply
    654.88x = 982.94 × 471.42
  4. Step 4: Simplify right side
    654.88x = 463,377.57
  5. Step 5: Solve for x
    x = 463,377.57/654.88
  6. Step 6: Final answer
    x = 707.58

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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.