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Finding the Fourth Proportional to 648.20, 974.14 and 433.14

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Solution

The fourth proportional to 648.20, 974.14 and 433.14 is: 650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.20 : 974.14 = 433.14 : x
  2. Step 2: Convert to fraction form
    648.20/974.14 = 433.14/x
  3. Step 3: Cross multiply
    648.20x = 974.14 × 433.14
  4. Step 4: Simplify right side
    648.20x = 421,939.00
  5. Step 5: Solve for x
    x = 421,939.00/648.20
  6. Step 6: Final answer
    x = 650.94

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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.