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Finding the Fourth Proportional to 650.90, 974.72 and 433.82

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Solution

The fourth proportional to 650.90, 974.72 and 433.82 is: 649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.90 : 974.72 = 433.82 : x
  2. Step 2: Convert to fraction form
    650.90/974.72 = 433.82/x
  3. Step 3: Cross multiply
    650.90x = 974.72 × 433.82
  4. Step 4: Simplify right side
    650.90x = 422,853.03
  5. Step 5: Solve for x
    x = 422,853.03/650.90
  6. Step 6: Final answer
    x = 649.64

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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.