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Finding the Fourth Proportional to 974.69, 1,462.38 and 609.05

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Solution

The fourth proportional to 974.69, 1,462.38 and 609.05 is: 913.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.69 : 1,462.38 = 609.05 : x
  2. Step 2: Convert to fraction form
    974.69/1,462.38 = 609.05/x
  3. Step 3: Cross multiply
    974.69x = 1,462.38 × 609.05
  4. Step 4: Simplify right side
    974.69x = 890,666.19
  5. Step 5: Solve for x
    x = 890,666.19/974.69
  6. Step 6: Final answer
    x = 913.79

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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.