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Finding the Fourth Proportional to 974.50, 1,460.41 and 447.01

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Solution

The fourth proportional to 974.50, 1,460.41 and 447.01 is: 669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.50 : 1,460.41 = 447.01 : x
  2. Step 2: Convert to fraction form
    974.50/1,460.41 = 447.01/x
  3. Step 3: Cross multiply
    974.50x = 1,460.41 × 447.01
  4. Step 4: Simplify right side
    974.50x = 652,817.87
  5. Step 5: Solve for x
    x = 652,817.87/974.50
  6. Step 6: Final answer
    x = 669.90

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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.