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Finding the Fourth Proportional to 974.09, 1,461.14 and 389.05

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Solution

The fourth proportional to 974.09, 1,461.14 and 389.05 is: 583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.09 : 1,461.14 = 389.05 : x
  2. Step 2: Convert to fraction form
    974.09/1,461.14 = 389.05/x
  3. Step 3: Cross multiply
    974.09x = 1,461.14 × 389.05
  4. Step 4: Simplify right side
    974.09x = 568,460.60
  5. Step 5: Solve for x
    x = 568,460.60/974.09
  6. Step 6: Final answer
    x = 583.58

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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.