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Finding the Fourth Proportional to 667.76, 1,001.60 and 257.10

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Solution

The fourth proportional to 667.76, 1,001.60 and 257.10 is: 385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.76 : 1,001.60 = 257.10 : x
  2. Step 2: Convert to fraction form
    667.76/1,001.60 = 257.10/x
  3. Step 3: Cross multiply
    667.76x = 1,001.60 × 257.10
  4. Step 4: Simplify right side
    667.76x = 257,511.36
  5. Step 5: Solve for x
    x = 257,511.36/667.76
  6. Step 6: Final answer
    x = 385.63

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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.