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Finding the Fourth Proportional to 1,249.70, 1,724.69 and 690.22

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Solution

The fourth proportional to 1,249.70, 1,724.69 and 690.22 is: 952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.70 : 1,724.69 = 690.22 : x
  2. Step 2: Convert to fraction form
    1,249.70/1,724.69 = 690.22/x
  3. Step 3: Cross multiply
    1,249.70x = 1,724.69 × 690.22
  4. Step 4: Simplify right side
    1,249.70x = 1,190,415.53
  5. Step 5: Solve for x
    x = 1,190,415.53/1,249.70
  6. Step 6: Final answer
    x = 952.56

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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.