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Finding the Fourth Proportional to 974.86, 1,461.71 and 389.96

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Solution

The fourth proportional to 974.86, 1,461.71 and 389.96 is: 584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.86 : 1,461.71 = 389.96 : x
  2. Step 2: Convert to fraction form
    974.86/1,461.71 = 389.96/x
  3. Step 3: Cross multiply
    974.86x = 1,461.71 × 389.96
  4. Step 4: Simplify right side
    974.86x = 570,008.43
  5. Step 5: Solve for x
    x = 570,008.43/974.86
  6. Step 6: Final answer
    x = 584.71

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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.