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Finding the Fourth Proportional to 1,106.46, 1,657.49 and 667.82

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Solution

The fourth proportional to 1,106.46, 1,657.49 and 667.82 is: 1,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.46 : 1,657.49 = 667.82 : x
  2. Step 2: Convert to fraction form
    1,106.46/1,657.49 = 667.82/x
  3. Step 3: Cross multiply
    1,106.46x = 1,657.49 × 667.82
  4. Step 4: Simplify right side
    1,106.46x = 1,106,905.78
  5. Step 5: Solve for x
    x = 1,106,905.78/1,106.46
  6. Step 6: Final answer
    x = 1,000.40

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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.