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Finding the Fourth Proportional to 1,244.25, 1,717.07 and 684.75

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Solution

The fourth proportional to 1,244.25, 1,717.07 and 684.75 is: 944.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.25 : 1,717.07 = 684.75 : x
  2. Step 2: Convert to fraction form
    1,244.25/1,717.07 = 684.75/x
  3. Step 3: Cross multiply
    1,244.25x = 1,717.07 × 684.75
  4. Step 4: Simplify right side
    1,244.25x = 1,175,760.26
  5. Step 5: Solve for x
    x = 1,175,760.26/1,244.25
  6. Step 6: Final answer
    x = 944.96

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Half 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.