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Finding the Fourth Proportional to 1,220.38, 1,684.23 and 696.43

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Solution

The fourth proportional to 1,220.38, 1,684.23 and 696.43 is: 961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.38 : 1,684.23 = 696.43 : x
  2. Step 2: Convert to fraction form
    1,220.38/1,684.23 = 696.43/x
  3. Step 3: Cross multiply
    1,220.38x = 1,684.23 × 696.43
  4. Step 4: Simplify right side
    1,220.38x = 1,172,948.30
  5. Step 5: Solve for x
    x = 1,172,948.30/1,220.38
  6. Step 6: Final answer
    x = 961.13

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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.