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Finding the Fourth Proportional to 1,256.25, 1,733.69 and 696.75

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Solution

The fourth proportional to 1,256.25, 1,733.69 and 696.75 is: 961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.25 : 1,733.69 = 696.75 : x
  2. Step 2: Convert to fraction form
    1,256.25/1,733.69 = 696.75/x
  3. Step 3: Cross multiply
    1,256.25x = 1,733.69 × 696.75
  4. Step 4: Simplify right side
    1,256.25x = 1,207,948.51
  5. Step 5: Solve for x
    x = 1,207,948.51/1,256.25
  6. Step 6: Final answer
    x = 961.55

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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.