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Finding the Fourth Proportional to 961.50, 1,441.17 and 474.03

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Solution

The fourth proportional to 961.50, 1,441.17 and 474.03 is: 710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.50 : 1,441.17 = 474.03 : x
  2. Step 2: Convert to fraction form
    961.50/1,441.17 = 474.03/x
  3. Step 3: Cross multiply
    961.50x = 1,441.17 × 474.03
  4. Step 4: Simplify right side
    961.50x = 683,157.82
  5. Step 5: Solve for x
    x = 683,157.82/961.50
  6. Step 6: Final answer
    x = 710.51

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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.