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Finding the Fourth Proportional to 940.69, 1,297.72 and 609.22

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Solution

The fourth proportional to 940.69, 1,297.72 and 609.22 is: 840.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.69 : 1,297.72 = 609.22 : x
  2. Step 2: Convert to fraction form
    940.69/1,297.72 = 609.22/x
  3. Step 3: Cross multiply
    940.69x = 1,297.72 × 609.22
  4. Step 4: Simplify right side
    940.69x = 790,596.98
  5. Step 5: Solve for x
    x = 790,596.98/940.69
  6. Step 6: Final answer
    x = 840.44

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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.