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Finding the Fourth Proportional to 1,232.25, 1,700.51 and 672.73

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Solution

The fourth proportional to 1,232.25, 1,700.51 and 672.73 is: 928.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.25 : 1,700.51 = 672.73 : x
  2. Step 2: Convert to fraction form
    1,232.25/1,700.51 = 672.73/x
  3. Step 3: Cross multiply
    1,232.25x = 1,700.51 × 672.73
  4. Step 4: Simplify right side
    1,232.25x = 1,143,984.09
  5. Step 5: Solve for x
    x = 1,143,984.09/1,232.25
  6. Step 6: Final answer
    x = 928.37

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.