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Finding the Fourth Proportional to 1,213.60, 1,674.14 and 820.76

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Solution

The fourth proportional to 1,213.60, 1,674.14 and 820.76 is: 1,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.60 : 1,674.14 = 820.76 : x
  2. Step 2: Convert to fraction form
    1,213.60/1,674.14 = 820.76/x
  3. Step 3: Cross multiply
    1,213.60x = 1,674.14 × 820.76
  4. Step 4: Simplify right side
    1,213.60x = 1,374,067.15
  5. Step 5: Solve for x
    x = 1,374,067.15/1,213.60
  6. Step 6: Final answer
    x = 1,132.22

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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.