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Finding the Fourth Proportional to 974.43, 1,461.65 and 389.75

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Solution

The fourth proportional to 974.43, 1,461.65 and 389.75 is: 584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.43 : 1,461.65 = 389.75 : x
  2. Step 2: Convert to fraction form
    974.43/1,461.65 = 389.75/x
  3. Step 3: Cross multiply
    974.43x = 1,461.65 × 389.75
  4. Step 4: Simplify right side
    974.43x = 569,668.83
  5. Step 5: Solve for x
    x = 569,668.83/974.43
  6. Step 6: Final answer
    x = 584.62

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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.