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Finding the Fourth Proportional to 974.92, 1,462.64 and 325.56

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Solution

The fourth proportional to 974.92, 1,462.64 and 325.56 is: 488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.92 : 1,462.64 = 325.56 : x
  2. Step 2: Convert to fraction form
    974.92/1,462.64 = 325.56/x
  3. Step 3: Cross multiply
    974.92x = 1,462.64 × 325.56
  4. Step 4: Simplify right side
    974.92x = 476,177.08
  5. Step 5: Solve for x
    x = 476,177.08/974.92
  6. Step 6: Final answer
    x = 488.43

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Double scale
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1.5x scale

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.