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Finding the Fourth Proportional to 974.92, 1,460.01 and 513.09

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Solution

The fourth proportional to 974.92, 1,460.01 and 513.09 is: 768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.92 : 1,460.01 = 513.09 : x
  2. Step 2: Convert to fraction form
    974.92/1,460.01 = 513.09/x
  3. Step 3: Cross multiply
    974.92x = 1,460.01 × 513.09
  4. Step 4: Simplify right side
    974.92x = 749,116.53
  5. Step 5: Solve for x
    x = 749,116.53/974.92
  6. Step 6: Final answer
    x = 768.39

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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.