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Finding the Fourth Proportional to 1,308.77, 1,963.16 and 443.69

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Solution

The fourth proportional to 1,308.77, 1,963.16 and 443.69 is: 665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.77 : 1,963.16 = 443.69 : x
  2. Step 2: Convert to fraction form
    1,308.77/1,963.16 = 443.69/x
  3. Step 3: Cross multiply
    1,308.77x = 1,963.16 × 443.69
  4. Step 4: Simplify right side
    1,308.77x = 871,034.46
  5. Step 5: Solve for x
    x = 871,034.46/1,308.77
  6. Step 6: Final answer
    x = 665.54

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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.