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Finding the Fourth Proportional to 974.05, 1,458.70 and 512.21

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Solution

The fourth proportional to 974.05, 1,458.70 and 512.21 is: 767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.05 : 1,458.70 = 512.21 : x
  2. Step 2: Convert to fraction form
    974.05/1,458.70 = 512.21/x
  3. Step 3: Cross multiply
    974.05x = 1,458.70 × 512.21
  4. Step 4: Simplify right side
    974.05x = 747,163.09
  5. Step 5: Solve for x
    x = 747,163.09/974.05
  6. Step 6: Final answer
    x = 767.07

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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.