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Finding the Fourth Proportional to 676.60, 1,014.74 and 291.64

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Solution

The fourth proportional to 676.60, 1,014.74 and 291.64 is: 437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.60 : 1,014.74 = 291.64 : x
  2. Step 2: Convert to fraction form
    676.60/1,014.74 = 291.64/x
  3. Step 3: Cross multiply
    676.60x = 1,014.74 × 291.64
  4. Step 4: Simplify right side
    676.60x = 295,938.77
  5. Step 5: Solve for x
    x = 295,938.77/676.60
  6. Step 6: Final answer
    x = 437.39

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