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Finding the Fourth Proportional to 974.10, 1,461.33 and 389.37

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Solution

The fourth proportional to 974.10, 1,461.33 and 389.37 is: 584.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.10 : 1,461.33 = 389.37 : x
  2. Step 2: Convert to fraction form
    974.10/1,461.33 = 389.37/x
  3. Step 3: Cross multiply
    974.10x = 1,461.33 × 389.37
  4. Step 4: Simplify right side
    974.10x = 568,998.06
  5. Step 5: Solve for x
    x = 568,998.06/974.10
  6. Step 6: Final answer
    x = 584.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.