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Finding the Fourth Proportional to 673.46, 1,010.20 and 443.82

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Solution

The fourth proportional to 673.46, 1,010.20 and 443.82 is: 665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.46 : 1,010.20 = 443.82 : x
  2. Step 2: Convert to fraction form
    673.46/1,010.20 = 443.82/x
  3. Step 3: Cross multiply
    673.46x = 1,010.20 × 443.82
  4. Step 4: Simplify right side
    673.46x = 448,346.96
  5. Step 5: Solve for x
    x = 448,346.96/673.46
  6. Step 6: Final answer
    x = 665.74

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Half scale
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Double scale
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Similar ratio
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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.