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Finding the Fourth Proportional to 676.14, 1,014.21 and 291.66

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Solution

The fourth proportional to 676.14, 1,014.21 and 291.66 is: 437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.14 : 1,014.21 = 291.66 : x
  2. Step 2: Convert to fraction form
    676.14/1,014.21 = 291.66/x
  3. Step 3: Cross multiply
    676.14x = 1,014.21 × 291.66
  4. Step 4: Simplify right side
    676.14x = 295,804.49
  5. Step 5: Solve for x
    x = 295,804.49/676.14
  6. Step 6: Final answer
    x = 437.49

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.