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Finding the Fourth Proportional to 712.34, 982.89 and 401.78

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Solution

The fourth proportional to 712.34, 982.89 and 401.78 is: 554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.34 : 982.89 = 401.78 : x
  2. Step 2: Convert to fraction form
    712.34/982.89 = 401.78/x
  3. Step 3: Cross multiply
    712.34x = 982.89 × 401.78
  4. Step 4: Simplify right side
    712.34x = 394,905.54
  5. Step 5: Solve for x
    x = 394,905.54/712.34
  6. Step 6: Final answer
    x = 554.38

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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.