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Finding the Fourth Proportional to 1,166.76, 1,609.56 and 773.28

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Solution

The fourth proportional to 1,166.76, 1,609.56 and 773.28 is: 1,066.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.76 : 1,609.56 = 773.28 : x
  2. Step 2: Convert to fraction form
    1,166.76/1,609.56 = 773.28/x
  3. Step 3: Cross multiply
    1,166.76x = 1,609.56 × 773.28
  4. Step 4: Simplify right side
    1,166.76x = 1,244,640.56
  5. Step 5: Solve for x
    x = 1,244,640.56/1,166.76
  6. Step 6: Final answer
    x = 1,066.75

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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.