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Finding the Fourth Proportional to 1,097.75, 1,645.30 and 480.73

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Solution

The fourth proportional to 1,097.75, 1,645.30 and 480.73 is: 720.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.75 : 1,645.30 = 480.73 : x
  2. Step 2: Convert to fraction form
    1,097.75/1,645.30 = 480.73/x
  3. Step 3: Cross multiply
    1,097.75x = 1,645.30 × 480.73
  4. Step 4: Simplify right side
    1,097.75x = 790,945.07
  5. Step 5: Solve for x
    x = 790,945.07/1,097.75
  6. Step 6: Final answer
    x = 720.51

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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.