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Finding the Fourth Proportional to 676.20, 1,012.70 and 458.60

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Solution

The fourth proportional to 676.20, 1,012.70 and 458.60 is: 686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.20 : 1,012.70 = 458.60 : x
  2. Step 2: Convert to fraction form
    676.20/1,012.70 = 458.60/x
  3. Step 3: Cross multiply
    676.20x = 1,012.70 × 458.60
  4. Step 4: Simplify right side
    676.20x = 464,424.22
  5. Step 5: Solve for x
    x = 464,424.22/676.20
  6. Step 6: Final answer
    x = 686.81

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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.