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Finding the Fourth Proportional to 974.80, 1,461.90 and 512.33

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Solution

The fourth proportional to 974.80, 1,461.90 and 512.33 is: 768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.80 : 1,461.90 = 512.33 : x
  2. Step 2: Convert to fraction form
    974.80/1,461.90 = 512.33/x
  3. Step 3: Cross multiply
    974.80x = 1,461.90 × 512.33
  4. Step 4: Simplify right side
    974.80x = 748,969.84
  5. Step 5: Solve for x
    x = 748,969.84/974.80
  6. Step 6: Final answer
    x = 768.33

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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.