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Finding the Fourth Proportional to 974.66, 1,462.33 and 609.02

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Solution

The fourth proportional to 974.66, 1,462.33 and 609.02 is: 913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.66 : 1,462.33 = 609.02 : x
  2. Step 2: Convert to fraction form
    974.66/1,462.33 = 609.02/x
  3. Step 3: Cross multiply
    974.66x = 1,462.33 × 609.02
  4. Step 4: Simplify right side
    974.66x = 890,579.38
  5. Step 5: Solve for x
    x = 890,579.38/974.66
  6. Step 6: Final answer
    x = 913.74

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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.