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Finding the Fourth Proportional to 974.38, 1,344.90 and 601.68

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Solution

The fourth proportional to 974.38, 1,344.90 and 601.68 is: 830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.38 : 1,344.90 = 601.68 : x
  2. Step 2: Convert to fraction form
    974.38/1,344.90 = 601.68/x
  3. Step 3: Cross multiply
    974.38x = 1,344.90 × 601.68
  4. Step 4: Simplify right side
    974.38x = 809,199.43
  5. Step 5: Solve for x
    x = 809,199.43/974.38
  6. Step 6: Final answer
    x = 830.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.