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Finding the Fourth Proportional to 974.20, 1,462.08 and 487.12

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Solution

The fourth proportional to 974.20, 1,462.08 and 487.12 is: 731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.20 : 1,462.08 = 487.12 : x
  2. Step 2: Convert to fraction form
    974.20/1,462.08 = 487.12/x
  3. Step 3: Cross multiply
    974.20x = 1,462.08 × 487.12
  4. Step 4: Simplify right side
    974.20x = 712,208.41
  5. Step 5: Solve for x
    x = 712,208.41/974.20
  6. Step 6: Final answer
    x = 731.07

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Half scale
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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.