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Finding the Fourth Proportional to 667.68, 1,001.52 and 666.72

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Solution

The fourth proportional to 667.68, 1,001.52 and 666.72 is: 1,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.68 : 1,001.52 = 666.72 : x
  2. Step 2: Convert to fraction form
    667.68/1,001.52 = 666.72/x
  3. Step 3: Cross multiply
    667.68x = 1,001.52 × 666.72
  4. Step 4: Simplify right side
    667.68x = 667,733.41
  5. Step 5: Solve for x
    x = 667,733.41/667.68
  6. Step 6: Final answer
    x = 1,000.08

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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.