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Finding the Fourth Proportional to 974.54, 1,460.84 and 389.34

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Solution

The fourth proportional to 974.54, 1,460.84 and 389.34 is: 583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.54 : 1,460.84 = 389.34 : x
  2. Step 2: Convert to fraction form
    974.54/1,460.84 = 389.34/x
  3. Step 3: Cross multiply
    974.54x = 1,460.84 × 389.34
  4. Step 4: Simplify right side
    974.54x = 568,761.50
  5. Step 5: Solve for x
    x = 568,761.50/974.54
  6. Step 6: Final answer
    x = 583.62

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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.