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Finding the Fourth Proportional to 974.99, 1,461.93 and 512.28

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Solution

The fourth proportional to 974.99, 1,461.93 and 512.28 is: 768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.99 : 1,461.93 = 512.28 : x
  2. Step 2: Convert to fraction form
    974.99/1,461.93 = 512.28/x
  3. Step 3: Cross multiply
    974.99x = 1,461.93 × 512.28
  4. Step 4: Simplify right side
    974.99x = 748,910.19
  5. Step 5: Solve for x
    x = 748,910.19/974.99
  6. Step 6: Final answer
    x = 768.12

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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.