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Finding the Fourth Proportional to 1,214.39, 1,676.43 and 794.76

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Solution

The fourth proportional to 1,214.39, 1,676.43 and 794.76 is: 1,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.39 : 1,676.43 = 794.76 : x
  2. Step 2: Convert to fraction form
    1,214.39/1,676.43 = 794.76/x
  3. Step 3: Cross multiply
    1,214.39x = 1,676.43 × 794.76
  4. Step 4: Simplify right side
    1,214.39x = 1,332,353.22
  5. Step 5: Solve for x
    x = 1,332,353.22/1,214.39
  6. Step 6: Final answer
    x = 1,097.14

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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.