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Finding the Fourth Proportional to 1,249.67, 1,724.51 and 690.12

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Solution

The fourth proportional to 1,249.67, 1,724.51 and 690.12 is: 952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.67 : 1,724.51 = 690.12 : x
  2. Step 2: Convert to fraction form
    1,249.67/1,724.51 = 690.12/x
  3. Step 3: Cross multiply
    1,249.67x = 1,724.51 × 690.12
  4. Step 4: Simplify right side
    1,249.67x = 1,190,106.77
  5. Step 5: Solve for x
    x = 1,190,106.77/1,249.67
  6. Step 6: Final answer
    x = 952.34

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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.